Hi all, I have a series sum from n = 1 to infinity for n!/n^n.

I've used the ratio test only to come up with a 1 which is obviously inconclusive. I tried the root test and also came up with a 1 though it's quite possible I mixed this up. I feel as though it has to do with either direct comparison or limit comparison but I'm drawing blanks and any help would be greatly appreciated.

Zo