If f(x)=∑n=0∞cnxnf(x) = \sum_{n=0}^{\infty} c_n x^nf(x)=∑n=0∞cnxn has a radius of convergence R1=3R_1 = 3R1=3, what is the radius of convergence R2R_2R2 for g(x)=∑n=0∞cnx2ng(x) = \sum_{n=0}^{\infty} c_n x^{2n}g(x)=∑n=0∞cnx2n?
R2=3R_2 = 3R2=3
R2=3R_2 = \sqrt{3}R2=3
R2=9R_2 = 9R2=9
R2=6R_2 = 6R2=6