Answer to Question #33278 in Calculus for nowhere1122

Question

a)what is the largest interval (a,b) where the Power series sigma from n=1 to infinity (x-5)^n/(2^(2n)root(n+1)) converges absolutely? [use the Ratio Test]
b) what is the radius of convergence of this Power series sigma from n=1 to infinity (x-5)^n/(2^(2n)root(n+1))?
c)Does the series converge (conditionally) at the endpoints of the interval?