Determine the interval of convergence
I used the ratio test and got it down to
but I think I messed up somewhere or maybe I shouldn't use the ratio test and maybe try something different.
Which is a geometric series and converges iff the value raised to the n is less then one.
P.S. Dont forget to check the endpoints of your IOC
Also note that for every x that makes this seris converge it is euqal to