# Homework Help: Convergence/Divergence of a Geometric series with a Factorial

1. Mar 21, 2012

### sikrut

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

Determine if the sequence {an} below converges or diverges. Find the limit of each convergent sequence

an = n!/nn

Hint: Compare with 1/n .

Find the limit of the sequence {an} if it converges.

I missed the lesson on factorials, and the book is useless. Sorry if this seems rather simple...

2. Mar 21, 2012

### clamtrox

Factorial is n! = 1*2*3*..*n, and n^n = n*n*n*...*n. Which one is bigger now?