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Power Seriesmedium
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If ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n∑n=0∞​an​xn has radius of convergence R=5R = 5R=5, what is the radius of convergence of ∑n=0∞anx2n\sum_{n=0}^{\infty} a_n x^{2n}∑n=0∞​an​x2n?