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 ∑n=1∞xnn\displaystyle\sum_{n=1}^{\infty} \dfrac{x^{n}}{\sqrt{n}}. (a) (−1, 1](-1,\,1] (b) (−1, 1)(-1,\,1) (c) [−1, 1)[-1,\,1) (d) [−1, 1][-1,\,1]

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