Solution Found!
Choose your test Use the test of your choice
Chapter 12, Problem 41E(choose chapter or problem)
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(\frac{1}{k}+2^{-k}\right)\)
Questions & Answers
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty}\left(\frac{1}{k}+2^{-k}\right)\)
ANSWER:Problem 41E
Choose your test Use the test of your choice to determine whether the following series converge.
Answer;
Step 1 ;
In this problem we have to determine whether the series (
+
converge or not.
Let us use comparison test to find the whether the series converge or not.
Comparison test:
Let be positive sequences such that for all n,
.
-
If
converges, so does
-
If