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Power Seriesmedium
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If a power series ∑cn(x−a)n\sum c_n (x-a)^n∑cn​(x−a)n has a radius of convergence R=2R=2R=2, what can be said about the series ∑cn(x−a)2n\sum c_n (x-a)^{2n}∑cn​(x−a)2n?