Solution Found!
The Root Test Use the Root Test to determine whether the
Chapter 12, Problem 20E(choose chapter or problem)
QUESTION:
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(\frac{k+1}{2 k}\right)^{k}\)
Questions & Answers
QUESTION:
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(\frac{k+1}{2 k}\right)^{k}\)
ANSWER:Problem 20E
The Root Test Use the Root Test to determine whether the following series converge.
Answer ;
Step 1 ;
In this problem we have to determine whether the series converge or not by using root test.
Root test:
Let be a series of positive terms and let
- If then the series converges.
- If then the series diverges.
- If then the root test is inconclusive.