What is $\lim\limits_{x\to\infty} \sum_\limits{n=1}^{x} \frac {1}{n^n}$?

Asked Apr 29 '20 at 05:04

Active Apr 29 '20 at 05:09

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Fun problem. Can't seem to find an exact solution. The approximate value I'm getting is 1.29

edited Apr 29 '20 at 05:09

asked Apr 29 '20 at 05:04

O.S.

You can get the proper font and spacing for $\lim$ using \lim. For operators that don't have a command of their own, you can use \operatorname{name}. – joriki Apr 29 '20 at 05:07
3

I don't think there is a closed-form expression for this series, but it's quite famous and is known via "Sophomore's dream" – Casimir Rönnlöf Apr 29 '20 at 05:11
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See this question which does not have an answer. – Ross Millikan Apr 29 '20 at 05:14

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