Which of the following describes the convergence of the series ∑n=1∞nnxnn!\sum_{n=1}^{\infty} \frac{n^n x^n}{n!}∑n=1∞n!nnxn?
Converges for all xxx
Converges for ∣x∣<1e|x| < \frac{1}{e}∣x∣<e1
Converges for ∣x∣<e|x| < e∣x∣<e
Converges only at x=0x=0x=0