Consider the series

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

Problem

Consider the series ∑n=0∞3 nn!(x−2)n\displaystyle \sum_{n=0}^{\infty}\frac{3^{\,n}}{n!}(x-2)^n. Determine its radius of convergence.

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