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Power Serieshard
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The function f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞​an​xn satisfies f′(x)=2xf(x)f'(x) = 2x f(x)f′(x)=2xf(x) with f(0)=1f(0)=1f(0)=1. What is a2a_2a2​?