Consider the power series

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

Problem

Consider the power series ∑n=1∞(x−2)nn3\displaystyle \sum_{n=1}^{\infty} \dfrac{(x-2)^{n}}{n^{3}}. Determine the radius of convergence of the series. (a) 33 (b) 11 (c) The series converges for all real xx (d) 22

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