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Power Seriesmedium
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If a power series ∑n=0∞cnxn\sum_{n=0}^{\infty} c_n x^n∑n=0∞​cn​xn has a radius of convergence R=4R = 4R=4, what is the radius of convergence for the series ∑n=0∞cn(x−3)2n\sum_{n=0}^{\infty} c_n (x-3)^{2n}∑n=0∞​cn​(x−3)2n?