Solution Found!
Absolute and conditional convergence Determine
Chapter 10, Problem 44E(choose chapter or problem)
39-46. Absolute and conditional convergence Determine whether the following series converge absolutely or conditionally.
\(\sum_{k=2}^{\infty} \frac{(-1)^{k}}{\ln k}\)
Questions & Answers
QUESTION:
39-46. Absolute and conditional convergence Determine whether the following series converge absolutely or conditionally.
\(\sum_{k=2}^{\infty} \frac{(-1)^{k}}{\ln k}\)
ANSWER:Problem 44E
Absolute and conditional convergence Determine whether the following series converge absolutely or conditionally.
Solution
Step 1
In this problem we have to find whether the seriesconverges absolutely or conditionally.
Absolute convergence: is absolutely convergent if is convergent.
Conditional convergence: is conditionally convergent if is divergent and is convergent.