# Math Help - another convertion question

1. ## another convertion question

does this series converge or diverge:

$\frac{n!}{n^n}$

I know that this converges, but I don't know how to show it.

2. Originally Posted by lllll
does this series converge or diverge:

$\frac{n!}{n^n}$

I know that this converges, but I don't know how to show it.
Ratio test.

3. ## similar problem

Originally Posted by lllll
does this series converge or diverge:

$\frac{n!}{n^n}$

I know that this converges, but I don't know how to show it.
What about the recipricol of that an=3^n/n^3?

4. Originally Posted by lllll
does this series converge or diverge:

$\frac{n!}{n^n}$

I know that this converges, but I don't know how to show it.
Sry, this reply was very wrong :/ I'm deleting to prevent infection of bad thoughts.