How do you show the sum of $1/(n\log n)$ diverges?

Asked Jan 29 '14 at 23:05

Active Jan 29 '14 at 23:08

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How do you show the sum $$\sum_{n=2}^\infty \frac{1}{n\log n}$$ diverges?

I have tried to use the ratio test but the outcome was inconclusive as the limit was equal to $1$.

edited Jan 29 '14 at 23:08

user127.0.0.1

asked Jan 29 '14 at 23:05

Sadie

4

Integral test. Or, Cauchy Condensation test. – David Mitra Jan 29 '14 at 23:05

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