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

[tex]\Sigma[/tex]n!/n^n

index n=1 to infinity

2. Relevant equations

3. The attempt at a solution

Using the Ratio test (limit as n goes to infinity of a[tex]_{n+1}[/tex]/a[tex]_{n}[/tex])

and found that the series converges.

However, I thought that factorials grew faster than exponential functions. Therefore, it would diverge, right?

Could someone explain why? Did I just do something wrong?

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# Homework Help: Series question

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