- #1
badirishluck
- 6
- 0
Homework Statement
[tex]\Sigma[/tex]n!/n^n
index n=1 to infinity
Homework Equations
The Attempt at a Solution
Using the Ratio test (limit as n goes to infinity of a[tex]_{n+1}[/tex]/a[tex]_{n}[/tex])
and found that the series converges.
However, I thought that factorials grew faster than exponential functions. Therefore, it would diverge, right?
Could someone explain why? Did I just do something wrong?