# Limits Notes

Moreover, we have. Reading the limit off a graph is the easiest way to find the limit. The data disk limit is specific to disks that contain user data. A LIT ("limit if touched") order is like a MIT order, but it sends out a limit order instead of a market order. Sign up today. The accuracy of Taylor series is only local, for a better global approximation we use Padé approximations, which are rational expressions. When someone's is over it is only right that this is pointed out, as 2kg is a big % when 5kg is the limit. Limits And Derivatives Class 11 Notes Limits and derivatives for class 11 is an important chapter because the basics of differentiation and integration are taught in this chapter. Very often, we must evaluate limits involving trig functions, and very often, these limits are not easy to evaluate unless we have one of three things: (1) a calculator, (2) a smart, helpful friend, or (3) a couple of. The five limit-lines defining the SOA diagram are the R DS(on) limit-line (blue line), the current limit-line (red line), the maximum power limit-line. Explanation of Thrift Savings Plan Contribution Limits. 5 Release Notes; For compatibility, installation and upgrades, product support notices, and features see the VMware vSphere 6. Convergence via lters 21 6. If the sequences and are convergent and and are two arbitrary real numbers, then the new sequence is convergent. Included are detailed discussions of Limits (Properties, Computing, One-sided, Limits at Infinity, Continuity), Derivatives (Basic Formulas, Product/Quotient/Chain Rules L'Hospitals Rule, Increasing/Decreasing/Concave Up/Concave Down, Related Rates, Optimization) and basic Integrals (Basic Formulas. Foreign citizens will be permitted to exchange foreign currency up to Rs. ³Deleted channels can be restored within 30 days. When you reach an indeterminant form. There are ways to reduce mobile data usage on Android. said in an emailed note. Warrior of Light, Firion and Terra activate their Limit Breaks have chaining enough notes and they have effects that buff the party for the rest of the stage. It also explains why issuers may periodically ask cardholders for income updates; that information is used to raise limits proactively, he notes. De nition: A limit point of a set Sin a metric space (X;d) is an element x2Xfor which there is a sequence in Snfxgthat converges to x| i. Of rock? Of rot?. There are note size limits and monthly limits on the volume of uploads to Evernote which vary with the type of account; but functionally there is no limit on the number or size of files you can eventually store. Maintained as a general resource for IBM Lotus Notes/Domino developers and administrators, with information coming from Lotus Notes Help, IBM technotes and developers and admins like you!. When a limit is changed in the Microsoft data centers, it can take some time to apply the change to all existing customers. A major Fallout 76 update is planned for next week. 3-inch Note 10 and 6. f x x 2 lim d. Please also note that Tables 1 and 2 (beginning on page 7) show that most nonmetropolitan area income limits are based on state nonmetropolitan area medians. If a function approaches a numerical value L in either of these situations, write. According to the devs, Patch 6. 2 - Multivariable Limits LIMITS AND CONTINUITY •This table shows values of g(x, y). Here students are also introduced to the topic of calculus. Follow the steps under Sign out of all computers or Sign out fro. Note, that integral expression may seems a little different in inline and display math mode - in inline mode the integral symbol and the limits are compressed. The wait is over. Limits of Exponential and Logarithmic Functions Math 130 Supplement to Section 3. Class 12 Mathematics Notes - Chapter 1 - Functions and Limits - Exercise 1. One could be your favorite while another might be a store near you, or one you browsed in the past. AP Calculus Notes and Videos I have hundreds of Calculus Videos on (Channel: WOWmath. But we have to be careful about the positive or negative sign. Subdivision (a). Why they have "Export to PDF" function when it cuts off some of your notes with stupid page dividing?. We’ll also give a precise definition of continuity. Treasury notes, sometimes called T-Notes, earn a fixed rate of interest every six months until maturity. Be sure to include which edition of the textbook you are using!. May 4th, 2013 10:30 AM EDT. It also explains why issuers may periodically ask cardholders for income updates; that information is used to raise limits proactively, he notes. Headquarters: One Pickwick Plaza, Greenwich, CT 06830 USA. f x x 1 lim e. Request limits. A limit is a number that a function approaches as the independent variable of the function approaches a given value. Vertical Limit is an original band from Oceanside, CA playing a fun mix of rock, blues, jazz and a little funk! Bruce Vancleave - Vocals Rory Callewaert - Guitar, Vocals. Notes Chapter 1(Limits) Existence of Limit: Common Types of Behavior Associated with Nonexistence of a Limit: 1. Both of these problems will be used to introduce the concept of limits, although we won't formally give the definition or notation until the next section. ) A319 A320 A321. Although our lectures will focus on the continuum model, it is hard to. Get the latest coverage and analysis on everything from the Trump presidency, Senate, House and Supreme Court. org/wiki/65535_(number). We will look at a few of these methods in this section; some will be a quick review, some will be new. The reason that the limit is 9 is that our new function f(x) coincides with our old continuous function g(x) for all xexcept x= 3. For example, given the function f (x) = 3x, you could say, "The limit of f. Feel free to view each file or download them all; print and use. Zao (1921-2013) is perhaps best known as the Chinese painter who moved to Paris after World War II, where he worked alongside the French Informel painters, while also maintaining a dialogue with the Abstract Expressionists. 2 Definition of Limits notes prepared by Tim Pilachowski We now move to a more formal examination of the concept of limits in mathematics. Diﬀerentiation Rules 64 3. Symbolically, this is written as 1. A few are somewhat challenging. It is now a valuable resource for people who want to make the most of their mobile devices, from customizing the look and feel to adding new functionality. If you get the 0 0 case, then you need to simplify more to find the limit. Instead, they allow you to reason about limits, i. I may keep working on this document as the course goes on, so these notes will not be completely. I'm taking the ATCL piano exam. AP Calculus AB. The exercise is solved and contains all the important questions. When this is the case we say that is continuous at a. Warrior of Light, Firion and Terra activate their Limit Breaks have chaining enough notes and they have effects that buff the party for the rest of the stage. However, HTTP callout processing time is no longer included when calculating the 5-second limit. credit note. Version 09/03/2002 Limit of Detection Program for Qualitative Microbiology Methods NOTE There is code only for 3-, 4-, and 5-level spiking protocols < Anthony. Statutory speed limits are limits established by legislative authority and are generally applicable throughout a political jurisdiction. Here is an example nproc limit for all users on a system: * hard nproc 2048 # Prevent fork-bombs from taking out the system. In this example however, the function does settle down to a single number as $$t = 0$$ on either side. , You are going to secure it. 1 Random variables and expectation This chapter is a brief review of probability. Call 888-373-7888. for six parameters: distance from star (Table 2), stellar flux (Table 3), equilibrium temperature (Table 4), period (Table 5), transit probability (Table 6), and maximum transit duration (Table 7). Evernote’s “secret” character limit to notes 14 February 2012 24 June 2014 Chris Free software , getting organized , Good but lacks refinement , Non-free software , Regular usage Evernote I have a 14 MB HTML file that I want to upload to Evernote. Number of views that can be added to a Notes application. Finding x→∞ lim is. Department of State Welcome to the new State. f x x 2 lim d. This tutorial was jointly sponsored by the DIMACS Special Focus on Hardness of Approximation, the DIMACS Special Focus on Algorithmic Foundations of the Internet, and the Center for Computational Intractability with support from the National Security Agency and the National Science Foundation. Note that we are looking for the limit as x approaches 1 from the left ( x → 1-1 means x approaches 1 by values smaller. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. f x x 2 lim c. There is general agreement that interrogatories spawn a greater percentage of objections and motions than any other discovery device. Limit state design (LSD), also known as load and resistance factor design (LRFD), refers to a design method used in structural engineering. Mailbox size and message sending limits in iCloud Learn about iCloud Mail account mailbox size and message sending limits. Thomsons hand luggage limit is 5kg and always has been (apart from premium upgrades which is 7kg). In this psalm the writer gathers up a wealth of historical evidence to show that in spite of the foolishness, the disloyalty, and disobedience of God's people the Lord still loved them and patiently watched over them and provided for them. Download CBSE class 11th revision notes for Chapter 13 Limits And Derivatives class 11 Notes Mathematics in PDF format for free. • Limits will be formally defined near the end of the chapter. Limits and Continuity. At the time, California was only the fourth state to introduce such a low BAC limit. However, the aggregate value of foreign currency notes in excess of USD 5000 or equivalent and the aggregate value of foreign exchange in the form of currency notes, bank notes or traveller's cheques in excess of USD 10,000 or its equivalent must be declared to the customs. Introduction to Math Philosophy and Meaning. Issue Limit ”) subject to conditions set out in paragraph 3 of this Practice of Note. limit (1) limit listagg (1) listagg (1) Load (1) Load to Oracle (1) merge limitation (1) merge problem (1) merge restriction (1) Migrate data from Salesforce to Oracle (1) mixed content (1) MODEL (2) nested table (1) not all variables bound (1) nvarchar2 (1) ora-01008 (1) ORA-01756 (1) ORA-06502 (1) ORA-12714 (1) Oracle (3) oracle client (1) oracle merge (1) Oracle Q-strings (1). n and let Fdenote the cdf of X. Notes on Limits Setup: You have to find lim x c f x 1. And note that the limit as x approaches 5 is 10, which is the height of the hole at (5, 10). x is a variable. To overcome this limit you must edit the IIS metabase. If you want to limit the Database Cache to 2 GB of an Exchange 2007 server, set msExchESEparamCacheSizeMax to 262144 (2 GB = 2. Acquisition. Statutory speed limits are limits established by legislative authority and are generally applicable throughout a political jurisdiction. SINGAPORE - Conglomerate Keppel Corp has increased the investable limit of its multi-currency medium-term note programme to US$5 billion from US$3 billion. When Michael J. pdf]) (58 pages, latest update February 2019). Is there any way to overcome this limit? In addition, what is the maximum number of Sticky Notes that the new version allows? When I have imported the Sticky Notes as instructed I get the box that pops up indicating that We are upgrading your notes. The PCLs are designed to ensure: This guidance note has been revised to make reference to the Public Contracts Regulations 2015. To avoid inadvertently deleting text or removing formatting information in a long note, edit notes only in the Task Information dialog box, and not in the Notes field in a sheet view. Safety evaluation of cosmetic substances 7. • Properties of limits will be established along the way. L'Hôpital's Rule is powerful and remarkably easy to use to evaluate indeterminate forms of type $\frac{0}{0}$ and $\frac{\infty}{\infty}$. If one exist, a limit is unique. Some notes on limits Shivaram Lingamneni Fall 2011 1 The standard de nition The formal (\delta-epsilon") de nition of a limit is as follows: De nition 1 We say that lim x!c f(x) = L if and only if for all >0, there exists >0 such that 0 0 of (cosx - 1)/x is 0. 5,335 Likes, 75 Comments - NOTES OF BERLIN | by Joab Nist (@notesofberlin) on Instagram: “Der Pimmelmaler - Kunst am Limit. One-sided Limits. One reason is that the courtroom is where the promises made in an insurance contract often become real. 2 Convergence. From a general summary to chapter summaries to explanations of famous quotes, the SparkNotes Functions, Limits, Continuity Study Guide has everything you need to ace quizzes, tests, and essays. Note, that integral expression may seems a little different in inline and display math mode - in inline mode the integral symbol and the limits are compressed. 2 – Multivariable Limits. In 1990, the 0. The exercise is solved and contains all the important questions. Note that Nε depends on ε. Jefferson and others were convinced that state government was closer to the people and thus more democratic. Every org has a limit on the number of concurrent long-running Apex requests. ) A319 A320 A321. The Half Note Restaurant & Lounge was established with one goal in mind -- to combine sincere, outstanding customer service with great food and entertainment. "—Frederick P. The Definition of the Limit – In this section we will give a precise definition of several of the limits covered in this section. I have taken a gentle approach to limits so far, and shown tables and graphs to illustrate the points. We have to make sure we know whether a small number is positive or negative. to prepare for AP exams. It is now a valuable resource for people who want to make the most of their mobile devices, from customizing the look and feel to adding new functionality. Limits Continuity Derivative Deﬁnition Examples of Limit Introduction Limits are central to Calculus Joseph M. At the time, California was only the fourth state to introduce such a low BAC limit. Welcome! This is one of over 2,200 courses on OCW. Note that this value of 2048 is just an example, and you may need to set yours higher. 062 mm and lower limit for the hole is the same as the basic size of 50. When drafting a promissory note, be careful to consider state usury laws, the laws defining the maximum interest rate you are allowed to charge. As the size of a three-dimensional object grows, its volume increases more rapidly than its surface does, which causes metabolic problems for cells. Note also that the function has a vertical asymptote at x = c if either of the above limits hold true. A limit is a value approached by the function as the independent variable of the function approaches a given value. Download Limit Exceeded You have exceeded your daily download allowance. Note that the above example could be improved by reporting to the user what the problem is if month is not in the range 1 to 12, and that it could also be done using a while loop if month were initialized to a value that ensures entering the loop. Parameter ANALYZER_LIMIT_MAX and/or SAP Note 1411545 does not override or enhance the logic that caluclates the Front-end memory requirement of the BEx Analyzer. be familiar with, the ε-δ deﬁnition and the deﬁnition in terms of limits. Issue Limit ”) subject to conditions set out in paragraph 3 of this Practice of Note. For some functions, it is appropriate to look at their behavior from one side only. The bold emphasis was. It cuts off some notes and makes "infinite paper" divided with strange footers at top and bottom parts of page. Find information faster. Is there anywhere I can find the setting to remove this limitation? Could email to flee. If you have no idea how to use less mobile data, these tips should save you up to 50 percent. This is the normal range for the Irish system 1. Term Limits for US Congress has begun petitioning in ALL 50 States to use Article 5 to Impose Term Limits on the US Congress, without requiring their involvement or approval. Notes are issued in terms of 2, 3, 5, 7, and 10 years. ObamaCare Annual Dollar Limits. Drop us a note and let us know which textbooks you need. will keep readers guessing all the way to the end as they cheer on Matt’s ingenuity and his relentless search for answers. These limits are affected by your computer's RAM, OS (32 or 64 Bit) and MIDI program version you are using. com if anyone has any solution? Already upgraded his lotus notes client from 8. If the x with the largest exponent is in the denominator, the denominator is growing faster as x →∞. Find lim x→3x2−9 x−3. The notation is lim x!a f(x). Course-Notes. In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero. Millions of Americans are looking for ways to save on health insurance, control health care spending, and reduce their taxes. If you master these techniques, you will be able to solve any type of problem involving limits in calculus. Speeding and at least two of the following: failure to obey traffic control device, overtaking on the right, driving outside the lanes of traffic, following too closely, failure to yield right of way, entering roadway unsafely, failure to use turn signals, failure. Vertical Limit Band is an original rock band from Oceanside California. f x x 2 lim d. Explanation of Thrift Savings Plan Contribution Limits. In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value. Schmit and Randy Meisner of The Eagles. Lecture 4 : Calculating Limits using Limit Laws Click on this symbol to view an interactive demonstration in Wolfram Alpha. 5 – Limits at Infinity – AP Calculus 1. RBI waives withdrawal limits, but only for new notes you deposit in your account if you deposit in current legal tender, no limits will apply when you withdraw it later, provided you are withdrawing equal to or less than legal money deposited. Limits at In nity Notes and Learning Goals Math 175 Part I: Vocabulary and Notation The notation for limit at in nity is lim x!1 f(x). These notes are organized and reﬂect tastes and choices of my students. However, HTTP callout processing time is no longer included when calculating the 5-second limit. The Limits of Racial Domination Plebeian Society in Colonial Mexico City, 1660–1720 R. You can also label notes for sorting later with custom tags, which is a great way to pull up all of your “blog ideas” or “recipes” with a couple clicks of the mouse. On the other hand, we could read that however we please ("the limit as x becomes dizzy"), as long as whatever expression we use refers to the condition of Definition 4. Request limits. Some structured notes with principal protection may have limits or caps on the gains you can earn based on the performance of the underlying asset, index or benchmark. If the executive branch agency does not spend the money as. We also explain what it means for a function to tend to a real limit as x tends to a given real number. Let’s work another example to drive this point home. 4) Let Abe a subset of R. 1 Individual users in businesses created before September 15, 2017 may also have up to 100,000 personal notes (not shared with the business). 5 – Limits at Infinity – AP Calculus 1. Experts say this is because billions of. If you are in need of technical support, have a question about advertising opportunities, or have a general question, please contact us by phone or submit a message through the form below. • Distinguish between one-sided (left-hand and right-hand) limits and two-sided limits and what it means for such limits to exist. The concept of the limit is one of the most crucial things to understand in order to prepare for calculus. You should reference that study guide and use this studyguide for additional information required for the AWS Developer Associate Exam. X0 ∈ R is a limit of sequence X(n) if, for each ε > 0, there exists an integer Nε such that ⎮X(n) - X0⎮ < ε for all n > Nε. One-sided Limits. If you get the finitenumber 0. When someone's is over it is only right that this is pointed out, as 2kg is a big % when 5kg is the limit. Continuity A function f(x) is continuous at a point x = a if the following are all true: • The function f(x) is defined at x = a. What is not included in the out-of-pocket limit? Premiums, health care this plan doesn't cover,. The Draper Pro Portal provides access to pricing, invoices, order tracking and other resources. Free PDF download of Class 11 Maths revision notes & short key-notes for Limits and Derivatives of Chapter 13 to score high marks in exams, prepared by expert mathematics teachers from latest edition of CBSE books. 62 Chapter 2 Limits and Continuity 6. Millions of Americans are looking for ways to save on health insurance, control health care spending, and reduce their taxes. Limits that end in the form of 0 0 usually can be solved by factoring the numerator and denominator. But we have to be careful about the positive or negative sign. This solution might not fit your business need, but it's an option for others that are struggling with the file size limit. *Note: You may need to algebraically manipulate the function. LIMITS AT INFINITY Consider the "end­behavior" of a function on an infinite interval. POL502: Limits of Functions and Continuity Kosuke Imai Department of Politics, Princeton University October 18, 2005 In this chapter, we study limits of functions and the concept of continuity. The limit of a rational power of a function is that power of the limit of the func-tion, provided the latter is a real number. Class 12 Mathematics Notes - Chapter 1 - Functions and Limits - Exercise 1. Raise limit on shinyapps uploads to 1GB from 100MB ‘Edit -> Replace and Find’ opens Find toolbar if not already open (e. The most current limit published can be found in the Rule Changes Since Update table in the latest issue of the Missouri Register under 20 CSR Medical Malpractice. When you reach an indeterminant form. In something of this magnitude and importance, there are many questions that continuously arise, especially for those just joining us. Notes to The Limits of Law. Frequencies below 20 Hz are generally felt rather than heard, assuming the amplitude of the vibration is great enough. 1 Limits Graphically Write your questions and thoughts here! Notes Example 3 a. Behe's first book, Darwin's Black Box, was published in 1996, it launched the intelligent design movement. Your DOT File has Moved! The DOT file that you are looking for has moved to a new location. Limiting us to 200MB today in a single note isnt working anymore and will force me back to OneNote. limit and lower limit of the shaft and the minimum clearance. "It is time we regulate men's reproductive choices": Kentucky lawmaker on why her new bill limits Viagra access to married men with notes from their spouses it is time we regulate men's. limit for this plan? $3,000 Individual /$6,000 Family The out-of-pocket limit is the most you could pay in a year for covered services. The generally accepted standard range of audible frequencies for humans is 20 to 20,000 Hz, although the range of frequencies individuals hear is greatly influenced by environmental factors. The angular dimension should be expressed in degrees (and minutes. You can buy Treasury bonds from us in TreasuryDirect. Introduction These notes are intended to be a summary of the main ideas in course MATH 214-2: Integral Calculus. If adverse alignment is present in this section, a warning will be provided along with the general recommended speed limit for. In calculating a. There is no specific maximum number of contacts because the actual limit is measured in kilobytes, not number of contacts. Aggregate and disk limits for Cloud Volumes ONTAP in Azure. Least upper bounds, limits and events. 1 SOA limit-lines In Fig. Diffraction and Resolution Even if a beam of light passes through a single slit, the rays within it interfere with each other: we call this diffraction; If light rays from different parts of the slit combine on the distant wall after travelling an extra half-wavelength, they interfere destructively and produce a dark spot. Introduction to Limits Notes Introduction to Limits Notes Introduction to Limits filled in Limit Worksheet #1 Limits Worksheet 1 Limits Worksheet 1 Key Limit Worksheet #2 Limits Worksheet 2 Limits Worksheet 2 Key. 2 - Multivariable Limits LIMITS AND CONTINUITY •This table shows values of g(x, y). Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. A promissory note may contain other terms such as the right of the promisee to order payment be made to another person, penalties for late payments, a provision for attorney's fees and costs if there is a legal action to collect, the right to collect payment in full if the note is secured by real property and the property is sold ("due on sale. The Notes release's limit for the number of views or folders allowed. Warrior of Light, Firion and Terra activate their Limit Breaks have chaining enough notes and they have effects that buff the party for the rest of the stage. Download Version PDF [7. Share ideas with anyone. Schmit and Randy Meisner of The Eagles. Limit Properties – Properties of limits that we’ll need to use in computing limits. AP Calculus AB. Diﬀerentiability Versus Continuity 63 2. Chandrasekhar limit, in astrophysics, maximum mass theoretically possible for a stable white dwarf star. generic products) , the principles in these guidelines are still applicable. G Suite has tools to migrate data from Microsoft® Exchange, Outlook®, or Office 365™, IBM® Notes®, and other email systems. Behe's first book, Darwin's Black Box, was published in 1996, it launched the intelligent design movement. A price limit is the maximum price range permitted for a futures contract in each trading session. Limit Definition of the Derivative Once we know the most basic differentiation formulas and rules, we compute new derivatives using what we already know. STAFF GUIDANCE NOTE ON THE IMPLEMENTATION OF PUBLIC DEBT LIMITS IN FUND-SUPPORTED PROGRAMS IMF staff regularly produces papers proposing new IMF policies, exploring options for reform, or reviewing existing IMF policies and operations. If you want to read about it, see Section 2. The only assumed limit is your iCloud storage limit (5GB for free or more if paid) and any other limit is not apparent. Precalculus with Limits: A Graphing Approach, Fourth Edition Ron Larson - The Pennsylvania State University, The Behrend College Robert P. It was developed in the 17th century to study four major classes of scientiﬁc. Most problems are average. We start with Taylor series and them move to general power series. Many of the questions we're getting are covered there, so please be sure to share that link with your parents so they understand the process. As work flows throughout your organization, Box protects your content with advanced security controls, encryption key management, and complete information governance. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under  Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to$585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over$1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: