convergent or divergent

[adiputra]

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

[mathman]

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

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.

[adiputra]

thank a lot