If f(x)=∑n=0∞cnxnf(x) = \sum_{n=0}^{\infty} c_n x^nf(x)=∑n=0∞cnxn has radius of convergence R=5R = 5R=5, what is the radius of convergence of F(x)=∫0xf(t) dtF(x) = \int_0^x f(t) \, dtF(x)=∫0xf(t)dt?
R=2.5R = 2.5R=2.5
R=5R = 5R=5
R=25R = 25R=25
Depends on the coefficients