Question

Calculate the interval of convergence.
Sigma from n=1 to infinity of (n!*x^n)/n^n.

Answer 1

try using the ratio test. You should be able to show that the series converges for |x| < e

Answer 2

I tried and I got
|x|lim n-infinity of |(n/n+1)^n|
which I get |x|<1