another convertion question

**lllll** · April 10th 2008, 12:30 PM

does this series converge or diverge:

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

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

**ThePerfectHacker** · April 10th 2008, 12:59 PM

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.

**daciernoj** · April 15th 2008, 02:48 PM

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?

**angel.white** · April 15th 2008, 02:51 PM

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.

Thread: another convertion question