A power series is given by and has radius of convergence

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

A power series is given by

\displaystyle \sum_{n=0}^{\infty} a_n\,(x-5)^n

and has radius of convergence

R

. Determine the radius of convergence of the power series obtained by differentiating the series term by term.