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Representing functions by power series Identify the

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

Solution for problem 49E Chapter 9.4

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 49E

Representing functions by power series Identify the functions represented by the following power series.

Step-by-Step Solution:

Solution 49E
Step 1:

 is an infinite geometric series where and .

So,


As we know that sum of an infinite geometric series is
where .

Using for the given power series, we get



where
 

Hence the function represented by the power series is .




Step 2 of 1

Chapter 9.4, Problem 49E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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