# Convergent or divergent

1. Sep 16, 2008

1)summation for n=0 to infinity for (n!/n^n)*exp^n. Can anyone help to prove whether this is convergent or divergent?

2. Sep 16, 2008

### mathman

Can you refer to Stirling's formula? When you use it, the n term in the sequence is approximately (2(pi)n)1/2. The series could never converge, with the individual terms getting larger.

3. Sep 21, 2008