For the series

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

Problem

For the series ∑n=1∞n (x+1)n3n\displaystyle \sum_{n=1}^{\infty} \dfrac{n\,(x+1)^{n}}{3^{n}}, determine the interval of convergence. (a) [−4, 2][-4,\,2] (b) (−3, 3)(-3,\,3) (c) (−4, 2)(-4,\,2) (d) [−4, 2)[-4,\,2)

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