If f(x)=∑n=0∞cnxnf(x) = \sum_{n=0}^{\infty} c_n x^nf(x)=∑n=0∞cnxn has a radius of convergence R=1R=1R=1, what is the radius of convergence of g(x)=∑n=0∞cnx3ng(x) = \sum_{n=0}^{\infty} c_n x^{3n}g(x)=∑n=0∞cnx3n?
R=1R=1R=1
R=13=1R=\sqrt[3]{1} = 1R=31=1
R=3R=3R=3
R=1/3R=1/3R=1/3