1. The problem statement, all variables and given/known data Find the Interval of Convergence for the given series. Check the endpoint behavior carefully sigma[n=0,inf] (n (x-2)^n)/( (n+1)4^n ) 2. Relevant equations 3. The attempt at a solution I was following along with the answer key and they used the ratio test... The only problem is that [x/4 - 1/2] lim n->inf (n+1)^2 / ((n^2 + 2n) ) = x/4 - 1/2 because the lim n->inf (n+1)^2 / ((n^2 + 2n) ) I thought the ratio test was inconclusive if when you took the limit you got 1? The answer key than proceeded to solve for x assuming x/4 - 1/2 < 1 can this be done even though the limit equals one?