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**[SOLVED] proving a seqeunce converges**

**1. Homework Statement**

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

**2. Homework 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.