Solution: Power series from the geometric series Use the

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

ISBN: 9780321570567 2

Solution for problem 23RE Chapter 9

Calculus: Early Transcendentals | 1st Edition

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Problem 23RE

Power series from the geometric series Use the geometric I series ,for |x|<1 to determine the Maclanrin series and the interval of convergence for the following functions.

Step-by-Step Solution:

Solution 23REStep 1:In this problem we have to use the geometric series for |x|<1, to determine the Maclaurin series of and also we have to find the interval of convergenceWe have Using geometric series for |x| < 1 we get,Thus the Maclaurin series of is given by Notice that we replaced both the x in the geometric series with to get the required Maclaurin series and so we will do the same in the interval of convergence. Thus provided Thus the interval of convergence for the Maclaurin series is . That is the interval of convergence is

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Chapter 9, Problem 23RE is Solved

Textbook: Calculus: Early Transcendentals

Edition: 1

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 23RE from chapter: 9 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 23RE from 9 chapter was answered, more than 278 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Series, geometric, interval, Convergence, functions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Power series from the geometric series Use the geometric I series ,for |x|<1 to determine the Maclanrin series and the interval of convergence for the following functions.” is broken down into a number of easy to follow steps, and 27 words.