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{n!}{3^{n}}(x-1)^{n}

. (a)

3

(b)

0

(c)

\infty

(d)

\dfrac{1}{3}