Solution Found!
Alternating Series Test Determine whether the
Chapter 10, Problem 13E(choose chapter or problem)
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty}(-1)^{k+1} \frac{k^{2}}{k^{3}+1}\)
Questions & Answers
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty}(-1)^{k+1} \frac{k^{2}}{k^{3}+1}\)
ANSWER:Problem 13E
Alternating Series Test
Determine whether the following series converge.
Solution:
Step 1
Consider the general form of alternating series:
Alternating Series test says that if decreases monotonically and then the alternating series converges.