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# Working with binomial series Use properties of | Ch 9.3 - 40E ISBN: 9780321570567 2

## Solution for problem 40E Chapter 9.3

Calculus: Early Transcendentals | 1st Edition

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Problem 40E

Working with binomial series Use properties of power series, substitution and factoring to find the first four nonzero terms of the Taylorseries centered at 0 for the following functions. Give the interval of convergence for the new series. Use the Taylor series

Step-by-Step Solution:

Solution 40EStep 1:In this problem we need to find the first four nonzero terms of the taylor series centered at ‘0’ for the function by using the taylor series : = 1+- +-............., for -1 < x , and interval of convergence of the new series.Consider , = = 2 ) , since = 2By , using for -1 < x we get = 2 ) = 2( ) , for -1< ( ) = 2( ) , for -1< ( ) ,since ) if n is odd. = 2( ),for -1< ( ) = 2( 1-,for -1< ( ) = 2-,for -1< ( ) Therefore...

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##### ISBN: 9780321570567

The answer to “Working with binomial series Use properties of power series, substitution and factoring to find the first four nonzero terms of the Taylorseries centered at 0 for the following functions. Give the interval of convergence for the new series. Use the Taylor series” is broken down into a number of easy to follow steps, and 42 words. The full step-by-step solution to problem: 40E from chapter: 9.3 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. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: Series, use, Taylor, nonzero, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 40E from 9.3 chapter was answered, more than 274 students have viewed the full step-by-step answer.

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