Which of the following describes the convergence of ∑n=0∞xnn!\sum_{n=0}^{\infty} \frac{x^n}{n!}∑n=0∞n!xn?
Converges only for ∣x∣<1|x| < 1∣x∣<1
Converges for all real xxx
Converges only for ∣x∣≤1|x| \leq 1∣x∣≤1
Diverges for all x≠0x \neq 0x=0