It's easy to see that [tex]\sum_{n=2}^{\infty}\frac{1}{lnn}[/tex] does not converge. But what happens to [tex]\sum_{n=2}^{\infty}\frac{1}{(lnn)^k}[/tex] with k > 1 and why?(adsbygoogle = window.adsbygoogle || []).push({});

Can anybody help?

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# Series convergence

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