Determine the radius of convergence of the power series .

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

Problem

Determine the radius of convergence of the power series

\displaystyle\sum_{n=1}^{\infty} n^{2}\,x^{n}

. (a)

R=\infty

(b)

R=1

(c)

R=\dfrac{1}{e^{2}}

(d)

R=0