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yeahyeah<3
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Homework Statement
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
Homework Equations
Ratio Test for Absolute Convergence?
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!