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Answer: Alternative approach Compute the coefficients for

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

Solution for problem 61E Chapter 9.3

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 61E

Problem 61E

Alternative approach Compute the coefficients for the Taylor series for the following functions about the given point a and then use the first four terms of the series to approximate the given number.

with a − 64; approximate .

Step-by-Step Solution:

Solution 61E

Step 1:

In this problem we need to find the coefficients for the Taylor series for the function  with and then we have to approximate

The -order Taylor polynomial for y = f(x) at  is:

It can also be written in sigma notation as follows,

where the constants is the  Taylor coefficient of about .

Step 2 of 3

Chapter 9.3, Problem 61E is Solved
Step 3 of 3

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

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Answer: Alternative approach Compute the coefficients for