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Alternating Series Test Determine whether the
Chapter 10, Problem 15E(choose chapter or problem)
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=2}^{\infty}(-1)^{k} \frac{k^{2}-1}{k^{2}+3}\)
Questions & Answers
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=2}^{\infty}(-1)^{k} \frac{k^{2}-1}{k^{2}+3}\)
ANSWER:Problem 15EAlternating Series TestDetermine whether the following series converge.Solution:Step 1Consider the general form of alternating series:Alternating Series test says that if decreases monotonically and then the alternating series converges.