Solution Found!
The Root Test Use the Root Test to determine
Chapter 12, Problem 22E(choose chapter or problem)
QUESTION:
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(1+\frac{3}{k}\right)^{k^{2}}\)
Questions & Answers
QUESTION:
19-26. The Root Test Use the Root Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(1+\frac{3}{k}\right)^{k^{2}}\)
ANSWER:Problem 22E
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.