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Solved: Series to functions Find the function represented

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

Solution for problem 53E Chapter 9.2

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 53E

Series to functions Find the function represented by the following series and find the interval of convergence of the series.

Step-by-Step Solution:

Solution 53EStep 1:In this problem we have to find the function represented by the series and also we have to find the interval of convergence of the series . = 1+ +++................ Is an infinite geometric series and use the formula for a geometric series. That is , with |r| < 1Therefore , = , for || < 1 ( Since = , for | < 1) = = for || < 1Thus the function represented by the power series is

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Chapter 9.2, Problem 53E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solved: Series to functions Find the function represented