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# Solution: Differentiating and integrating power series Find

ISBN: 9780321570567 2

## Solution for problem 36E Chapter 9.2

Calculus: Early Transcendentals | 1st Edition

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Problem 36E

Differentiating and integrating power series Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. using

Step-by-Step Solution:

Solution 36EStep 1:In this problem we need to find the the power series representation for centered at 0 by differentiating or integrating the power series for We already know a power series for ,namely for Therefore power series representation for is Step 2:Now let us find the interval of convergence of Use Ratio test to determine the interval of convergence.If there exists an N so that for all , and and1. If L<1, converges.2. If L>1, diverges.3. If L=1, the test is inconclusive.We have

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##### ISBN: 9780321570567

The answer to “Differentiating and integrating power series Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. using” is broken down into a number of easy to follow steps, and 38 words. This full solution covers the following key subjects: differentiating, Series, power, Integrating, once. 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. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 36E from chapter: 9.2 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 36E from 9.2 chapter was answered, more than 260 students have viewed the full step-by-step answer.

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