For the series

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

Problem

For the series

\displaystyle\sum_{n=1}^{\infty} \dfrac{(x+2)^{n}}{3^{\,n}\,n}

, determine the interval of convergence. (a)

(-5,\,1]

(b)

(-5,\,1)

(c)

[-5,\,1)

(d)

[-5,\,1]