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Power Serieshard
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If ∑anxn\sum a_n x^n∑an​xn has radius R=1R=1R=1 and ∑bnxn\sum b_n x^n∑bn​xn has radius R=3R=3R=3, what is the radius of convergence of ∑anbnxn\sum a_n b_n x^n∑an​bn​xn?