If f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞anxn has a radius of convergence R=5R=5R=5, what is the radius of convergence for g(x)=f(x3)g(x) = f(x^3)g(x)=f(x3)?
53\sqrt[3]{5}35
555
535^353
151515