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Power Seriesmedium
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Consider the function f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞​an​xn with radius of convergence R=2R=2R=2. What is the radius of convergence of g(x)=f(x4)g(x) = f(x^4)g(x)=f(x4)?