Let be a constant

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let a (≠0)a\,(\neq 0) be a constant. For the power series ∑n=1∞na n(x−3)n\displaystyle \sum_{n=1}^{\infty} n a^{\,n}(x-3)^n, determine the radius of convergence in terms of aa.

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