Show that the series $\sum_{n=2}^{\infty} \frac{1}{n\, (\log n)^s}$ converges for $s >1$ and diverges for $s=1$

Asked Jan 31 '14 at 19:23

Active Feb 18 '15 at 00:42

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Show that the series

$$\sum_{n=2}^{\infty} \frac{1}{n\, (\log n)^s}$$ converges for $s >1$ and diverges for $s=1$.

edited Feb 02 '14 at 23:27

asked Jan 31 '14 at 19:23

EEE

See also http://math.stackexchange.com/questions/9911/convergence-of-the-series-sum-limits-n-2-infty-frac1n-logs-n – Jonas Meyer Jan 02 '15 at 03:36

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