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1. The problem statement, all variables and given/known data

Prove that the sequence [itex]\frac{n!}{n^n}[/itex] converges to 0.

2. Relevant equations

3. The attempt at a solution

Given [itex]\epsilon > 0[/itex], how do I find N? We know that the nth term is less than or equal to

[tex]\left(\frac{n-1}{n}\right)^{n-1}[/tex]

but that really does not help.

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# Homework Help: Proving a seqeunce converges

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