Hey. This has been bugging me for a long time:(adsbygoogle = window.adsbygoogle || []).push({});

why does summation from n=1 to infinity of (-1)^n or i^n or 1/n or -1/n not converge, because summation from n=1 to infinity of 1/n^2 conveges. Don't the terms in (-1)^n or i^n or 1/n or -1/n(-1)^n tend to 0?

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