Solution Found!
Alternating Series Test Determine whether the
Chapter 10, Problem 19E(choose chapter or problem)
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty}(-1)^{k+1} \frac{k^{10}+2 k^{5}+1}{k\left(k^{10}+1\right)}\)
Questions & Answers
QUESTION:
11-24. Alternating Series Test Determine whether the following series converge.
\(\sum_{k=1}^{\infty}(-1)^{k+1} \frac{k^{10}+2 k^{5}+1}{k\left(k^{10}+1\right)}\)
ANSWER:Problem 19E
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.