# another convertion question

• Apr 10th 2008, 01:30 PM
lllll
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.
• Apr 10th 2008, 01:59 PM
ThePerfectHacker
Quote:

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.
• Apr 15th 2008, 03:48 PM
daciernoj
similar problem
Quote:

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?
• Apr 15th 2008, 03:51 PM
angel.white
Quote:

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.