Mathematics

Problem

For the power series

f(x)=\sum_{n=0}^{\infty} a_n (x-c)^n

with radius of convergence

R>0

, which statement best describes the radius of convergence of

f'(x)

? a) It cannot be determined without additional information. b) It is the same value

R

. c) It equals

\dfrac{R}{2}

. d) It equals

R^2