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Solved: Taylor polynomialsa. Find the nth-order Taylor

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 14E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 14E

Taylor polynomials

a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2.

b. Graph the Taylor polynomials and the function.

f(x) = e−1

Step-by-Step Solution:

Solution 14E

Step 1 :

Given

(a).We are asked to find the order polynomial  with  and  for

The taylor polynomial is generally given by

In this question it is

Step 2:

Taylor polynomial for n=0

Therefore

Step 3:

Taylor polynomial for n=1

Therefore

Step 4 of 6

Chapter 9.1, Problem 14E is Solved
Step 5 of 6

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This full solution covers the following key subjects: Taylor, polynomials, function, graph, given. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Taylor polynomialsa. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2.b. Graph the Taylor polynomials and the function.f(x) = e?1” is broken down into a number of easy to follow steps, and 30 words. Since the solution to 14E from 9.1 chapter was answered, more than 260 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 14E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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Solved: Taylor polynomialsa. Find the nth-order Taylor

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