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Power Serieshard
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The power series ∑n=1∞xnn2\sum_{n=1}^{\infty} \frac{x^n}{n^2}∑n=1∞​n2xn​ converges for ∣x∣≤1|x| \leq 1∣x∣≤1. On which of the following sets does this series converge uniformly?