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Power Serieseasy
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Given that ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n∑n=0∞​an​xn has a radius of convergence R=2R=2R=2, which of the following is true for the series ∑n=0∞anx2n\sum_{n=0}^{\infty} a_n x^{2n}∑n=0∞​an​x2n?