2549 Use any method to determine whether the series converges. k=1[(k + 1)]kkk+1

Chapter 9, Problem 48

(choose chapter or problem)

Use any method to determine whether the series converges.

$\sum_{k=1}^{\infty} \frac{[\pi(k+1)]^{k}}{k^{k+1}}$

Equation Transcription:

$\sum\limits_{k=1}^{\infty{}}$ $\frac{[\pi{}(k+1{)}^{k}}{{k}^{k+1}}$

Text Transcription:

Sum over k=1 ^infty [pi(k+1)^k/k^k+1

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