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Power Seriesmedium
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Given f(x)=∑n=0∞cnxnf(x) = \sum_{n=0}^{\infty} c_n x^nf(x)=∑n=0∞​cn​xn has a radius of convergence R1R_1R1​ and g(x)=∑n=0∞dnxng(x) = \sum_{n=0}^{\infty} d_n x^ng(x)=∑n=0∞​dn​xn has a radius of convergence R2R_2R2​, what is the radius of convergence RRR for the sum series h(x)=∑n=0∞(cn+dn)xnh(x) = \sum_{n=0}^{\infty} (c_n + d_n) x^nh(x)=∑n=0∞​(cn​+dn​)xn?