Power Seriesmedium
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Given f(x)=n=0cnxnf(x) = \sum_{n=0}^{\infty} c_n x^n has a radius of convergence R1R_1 and g(x)=n=0dnxng(x) = \sum_{n=0}^{\infty} d_n x^n has a radius of convergence R2R_2, what is the radius of convergence RR for the sum series h(x)=n=0(cn+dn)xnh(x) = \sum_{n=0}^{\infty} (c_n + d_n) x^n?