Radius+interval of convergence of n^n * x^n? Please?

Question

This is all I need =\

Answer 1

radius of convergence
n+1 st term/nth term is
-->(n+1)^(n+1)*x^(n+1)/n^n * x^n

=(n+1)^(n+1)*x/n^n

= |x|*e as n-->infinity


interval is(0,infinity)

Answer 2

take abs value and apply ratio test
a_n+1/a-n = (n+1)^n+1/ n^n *IxI = (1+1/n)^n *(n+1)IxI==>infinity
so the radius of convergence is 0
The series never converges.Except x =0 where every power series converges