Determine the interval of convergence of the series .

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

Problem

Determine the interval of convergence of the series

\displaystyle\sum_{n=1}^{\infty} n^{2}(x+1)^{n}

. (a)

(-1,1)

(b)

(-2,0)

(c)

[-2,0]

(d)

(-2,0]