Consider the power series

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

Problem

Consider the power series g(x)=∑n=1∞n2(x−1)ng(x)=\displaystyle \sum_{n=1}^{\infty} n^{2}(x-1)^{n}. Determine the radius of convergence of the power series for g′′(x)g''(x).

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