Solution Found!
Alternating Series Test Determine whether the
Chapter 10, Problem 18E(choose chapter or problem)
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{\cos \pi k}{k^{2}}\)
Questions & Answers
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{\cos \pi k}{k^{2}}\)
ANSWER:Problem 18E
Alternating Series Test Determine whether the following series converge.
Answer ;
Step 1;
In 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
-
is positive and monotone decreasing
-
.
Then the alternating series converges.