Which of the following describes the convergence of ∑n=1∞n!100nxn\sum_{n=1}^{\infty} \frac{n!}{100^n} x^n∑n=1∞100nn!xn?
Converges only at x=0x=0x=0
Radius of convergence R=1/100R=1/100R=1/100
Radius of convergence R=100R=100R=100
Converges for all xxx