Q1) I need help in finding the open interval of convergence for the series..

--- [(k!) (x^k)] / (k^k) ........when k goes from 1 to infinity..Note: do not examine convergence at the endpoint of the interval.

Q2) Find all the values of the x for which the series converges!

[(x+2)^2k ] / (2^k) using the ratio test...

I solved the function using ratio test, but I did not know how to proceed after then...