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Power Serieshard
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If f(x)=∑n=0∞xn=11−xf(x) = \sum_{n=0}^{\infty} x^n = \frac{1}{1-x}f(x)=∑n=0∞​xn=1−x1​ for ∣x∣<1|x| < 1∣x∣<1, what is the radius of convergence of h(x)=f(x3)h(x) = f(x^3)h(x)=f(x3)?