Determine the interval of convergence of the series _ n=0 ^ n^ 2 (x+2)^ n 4^ n .

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

Problem

Determine the interval of convergence of the series ∑n=0∞n2(x+2)n4n.\sum_{n=0}^{\infty}\frac{n^{2}(x+2)^{n}}{4^{n}}.

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