(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Sorry for the missing summation signs but could anyone help me investigate the convergance of the following infinte sum with n'th term equal to : (2n)!/(n^n)

2. Relevant equations

3. The attempt at a solution

I have tried ratio test and n'th root test but failed.

Im not even sure if it passes the vanishing test

would appreciate any ideas. Thanks

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# (2n)!/(n^n) does the infinte series converge?

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