If ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n∑n=0∞anxn has radius of convergence R>0R > 0R>0, what is the radius of convergence of ∑n=1∞n2anxn−1\sum_{n=1}^{\infty} n^2 a_n x^{n-1}∑n=1∞n2anxn−1?
R′=0R' = 0R′=0
R′=R/2R' = R/2R′=R/2
R′=RR' = RR′=R
R′=2RR' = 2RR′=2R