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

Σ(n!)/(n^n)

2. Relevant equations

Does the series converge or diverge?

3. The attempt at a solution

My prof. suggested we compare it to n^(n-2)/n^n.

I found that n^(n-2)/n^n was convergent since it was like 1/n^2 which is a p series where p>1. Therefore by the comparison theorem, the original series is convergent.

I'm hoping this is the right answer, but I thought it was too easy for what was deemed a tricky problem, even with the hint.

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# Homework Help: Does the series converge? n!/n^n

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