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Answer: 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 15E 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 15E

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) = In ( 1 − x)

Step-by-Step Solution:

Solution 15E

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 of 6

Chapter 9.1, Problem 15E is Solved
Step 3 of 6

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

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Answer: Taylor polynomialsa. Find the nth-order Taylor