Determine the interval of convergence for ∑n=1∞n!(x−1)n\sum_{n=1}^{\infty} n! (x-1)^n∑n=1∞n!(x−1)n.
x=1x=1x=1
(−∞,∞)(-\infty, \infty)(−∞,∞)
[0,2][0, 2][0,2]
(0,2)(0, 2)(0,2)