# Representing functions by power series | Ch 9.4 - 54E

## Problem 54E Chapter 9.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 54E

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

Step-by-Step Solution:

Solution 54EStep 1:In this problem we need to identify the function represented by the power series Consider , = ++++........... = -+-+........... Is an infinite geometric series , here “ the first term (a) = x , and the common ratio (r)= = We know that a+ar+ Then () = , if |r|< 1 , , if |r| > 1 Therefore , -+-+........... . is an infinite geometric series, then = = = = f(x) . Therefore , the function f(x) = represented by the power series

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Representing functions by power series Identify the functions represented by the following power series.” is broken down into a number of easy to follow steps, and 14 words. The full step-by-step solution to problem: 54E from chapter: 9.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 54E from 9.4 chapter was answered, more than 239 students have viewed the full step-by-step answer. This full solution covers the following key subjects: functions, power, Series, identify, Representing. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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