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Interval and radius of convergence Determine | Ch 9.2 - 19E

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

Solution for problem 19E Chapter 9.2

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 19E

Problem 19E

Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.

Step-by-Step Solution:

Solution 19E

Step 1:

In this problem we have to determine the radius of convergence of the power series.

Use Root test to determine the radius of convergence.

If and

  1. If L<1, converges.
  2. If L>1, diverges.
  3. If L=1, the test is inconclusive.

Step 2 of 3

Chapter 9.2, Problem 19E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Interval and radius of convergence Determine | Ch 9.2 - 19E