Solved: Alternating Series Test Determine whether the

Chapter 10, Problem 23E

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QUESTION:

11-24. Alternating Series Test Determine whether the following series converge.

\(\sum_{k=0}^{\infty} \frac{(-1)^{k}}{\sqrt{k^{2}+4}}\)

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QUESTION:

11-24. Alternating Series Test Determine whether the following series converge.

\(\sum_{k=0}^{\infty} \frac{(-1)^{k}}{\sqrt{k^{2}+4}}\)

ANSWER:

Problem 23EAlternating Series Test Determine whether the following series converge. SolutionStep 1In this problem we have to find whether the series converge or not.Alternating series test:Suppose that for there exists a N so that for all 1. is positive and decreasing2. .

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