Determine the radius of convergence of the series .

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Determine the radius of convergence of the series

\displaystyle\sum_{n=0}^{\infty} \frac{(2n)!}{(n!)^{2}}\,(x-4)^{n}

. (a)

\dfrac{1}{2}

(b)

\dfrac{1}{4}