Determine the interval of convergence for ∑n=1∞(x−2)nnn\sum_{n=1}^{\infty} \frac{(x-2)^n}{n^n}∑n=1∞nn(x−2)n.
(1,3)(1, 3)(1,3)
[1,3][1, 3][1,3]
(−∞,∞)(-\infty, \infty)(−∞,∞)
[0,4][0, 4][0,4]