Solution Found!
Choose your test Use the test of your choice
Chapter 12, Problem 40E(choose chapter or problem)
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{(k !)^{3}}{(3 k) !}\)
Questions & Answers
QUESTION:
40-57. Choose your test Use the test of your choice to determine whether the following series converge.
\(\sum_{k=1}^{\infty} \frac{(k !)^{3}}{(3 k) !}\)
ANSWER:Problem 40E
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 seriesconverge or not.
Let us use ratio test to find the whether the series converge or not.
Ratio test:
Let be a sequence of nonzero terms and let . Then
- If L < 1 then is convergent.
- If L > 1 then is divergent.
- If L = 1 then nothing can be said about the series. In other words, we say that the ratio is inconclusive.