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Solved: Radius and interval of convergence Use the Ratio

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

Solution for problem 16RE Chapter 9

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 16RE

Radius and interval of convergence Use the Ratio or Root Test to determine the radius of convergence of the following power series. Test the endpoints to determine the interval of convergence, when appropriate.

Step-by-Step Solution:

Solution 16REStep 1:

Given series is and To determine the radius of convergence we use ratio test which states:

The ratio test states that:a. If  then the series convergesb. If then the series divergesc. If or the limit does not exist then the test is inconclusive.

Calculating L, we get     Series converge, if . Using this we write

So, the radius of convergence for this power series is R=1.

Step 2 of 2

Chapter 9, Problem 16RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “Radius and interval of convergence Use the Ratio or Root Test to determine the radius of convergence of the following power series. Test the endpoints to determine the interval of convergence, when appropriate.” is broken down into a number of easy to follow steps, and 33 words. Since the solution to 16RE from 9 chapter was answered, more than 246 students have viewed the full step-by-step answer. 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. This full solution covers the following key subjects: Convergence, determine, radius, test, interval. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 16RE from chapter: 9 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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Solved: Radius and interval of convergence Use the Ratio

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