If f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞anxn converges for ∣x∣<3|x| < 3∣x∣<3, what is the radius of convergence of F(x)=∫0xf(t)et dtF(x) = \int_0^x f(t) e^t \, dtF(x)=∫0xf(t)etdt?
R=0R = 0R=0
R=1R = 1R=1
R=3R = 3R=3
R=∞R = \inftyR=∞