Ononot — Let f(x) = \sum{n=0}^{\infty} cn x^n be a power series with

Power Seriesmedium

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Let $f(x) = \sum_{n=0}^{\infty} c_n x^n$ be a power series with radius of convergence $R=5$ . What is the radius of convergence of the series $\sum_{n=0}^{\infty} c_n x^{2n}$ ?