Show that converges by comparison with n1 1 n5 4

Chapter 9, Problem 71

(choose chapter or problem)

Show that \(\sum_{n=1}^{\infty} \frac{\ln n}{n \sqrt{n}}\) converges by comparison with \(\sum_{n=1}^{\infty} \frac{1}{n^{5 / 4}}\).

Text Transcription:

sum_n=1 ^infty ln n / n sqrt n

sum_n=1 ^infty 1 / n^5/4

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