1. The problem statement, all variables and given/known data The coefficients of the power series the sum from n=0 to infinity of an (x-2)^n satisfy ao=5 and an= [(2n+1)/(3n-1)] an-1 for all n is greater than or equal to 1. The radius of convergence of the series is A) 0 B) 2/3 C) 3/2 D) 2 E) infinite 2. Relevant equations Ratio Test for Absolute Convergence? 3. The attempt at a solution Limit x--> infinity (2n+3) (x-2)^n+1 (3n-1) (x-2)^n (3n+2) times (2n+1) leaving the interval of convergence to be 1<x<3 which means the radius would be 1. which isn't a choice. What did I do wrong? Thanks!