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=2R=2R=2, what is the radius of convergence for g(x)=∑n=0∞an(x−3)ng(x) = \sum_{n=0}^{\infty} a_n (x-3)^ng(x)=∑n=0∞an(x−3)n?
R=1R=1R=1
R=2R=2R=2
R=3R=3R=3
R=5R=5R=5