Solution Found!
The Ratio Test Use the Ratio Test to determine
Chapter 12, Problem 13E(choose chapter or problem)
QUESTION:
9-18. The Ratio Test Use the Ratio Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty} k e^{-k}\)
Questions & Answers
QUESTION:
9-18. The Ratio Test Use the Ratio Test to determine whether the following series converge.
\(\sum_{k=1}^{\infty} k e^{-k}\)
ANSWER:SOLUTIONStep 1The ratio test states that,if we have a series then define ThenIf L<1,then the series is absolutely convergent(therefore convergent).If L>1,then the series is divergent.If L=1,then the series may be convergent,or divergent