Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Find the Taylor polynomials of orders $0,1,2,$ and 3 generated by $f$ at $a$.$$f(x)=1 / x, \quad a=2$$

$$P_{3}(x)=\frac{1}{2}-\frac{1}{4}(x-2)+\frac{1}{8}(x-2)^{2}-\frac{1}{16}(x-2)^{3}$$

Calculus 2 / BC

Chapter 10

Infinite Sequences and Series

Section 8

Taylor and Maclaurin Series

Series

Missouri State University

Harvey Mudd College

Baylor University

University of Nottingham

Lectures

01:59

In mathematics, a series is, informally speaking, the sum of the terms of an infinite sequence. The sum of a finite sequence of real numbers is called a finite series. The sum of an infinite sequence of real numbers may or may not have a well-defined sum, and may or may not be equal to the limit of the sequence, if it exists. The study of the sums of infinite sequences is a major area in mathematics known as analysis.

14:11

In mathematics, the partial sums of a series are the sums of all terms of the series except possibly the first and last.

02:51

Find the Taylor polynomial…

02:40

02:47

01:54

01:43

probably if I were to find Tyler. Well, you know, meals off orders 0 to 3. So here are the definitions. Thus, this formula here and when a is two and 1/2 axes. One the racks. A prime max is minus one, divided by the square prime prime lax. It's, uh, too. Or thanks. Kill a prime front. Prime axes six minus six. Divided by before I. So just you the formula here. Ah, Peter, relax. It's when axis equals toe to just have to. So it's one over two, right? And you are next is one or two plus some same times. Axe. What is this saying? I have Prime Max and when the access evolve too. So it's, uh, minus one force. Thanks. Oh, X minus two. Sorry, because when our ace you go to two, Here's axe minus a right. I forgot that he two acts issue goes toe. Just copy the puma An axe and plus a prime prime too. So that's one, of course, a cane and extruded too. Let's square and guided by selectorial. I don't forget that. So that's a nays. So the search term is one. The ray times X minus two square, and there's no use such terms here. And piece reacts is Peter Relax us, a minor sakes divided by so today four and Time's directorial, right? So it's, uh, no. Yes, it's us minus one or 16 and X minus two Q. Right. One over 60 minus. Here here's a piece reax.

View More Answers From This Book

Find Another Textbook

01:02

Determine if the graph of the given equation is symmetric with respect to th…

04:15

Find the indicated limit.$$\lim _{x \rightarrow 9} \frac{\sqrt{x}-3}{x-9…

00:16

Let $y=f(x)$ denote the upper half of the ellipse $\frac{x^{2}}{25}+\fr…

03:34

Given the data set $(1,0.9),(2,3.8),(3,6.2),(4,4.1),(5,2.2),(6,5.8),(7,9.3)$…

01:15

In each of the following, solve the given quadratic equation exactly using t…

Solve each of the following equations for the real values of $x$.$$\frac…

04:46

Determine (a) $f(x)$ ) and the domain of the composite function, (b) $g(f(x)…

03:31

The Floor and $C E I L I N G$ functions are defined as follows:$$\begin{…

03:19

sketch the graph of the given ellipse, labeling all intercepts.$$4 x^{2}…

01:34

The hypothenuse and one leg of a right triangle are 18 and 12 inches respect…