Which of the following is 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?
(−∞,∞)(-\infty, \infty)(−∞,∞)
(1,3)(1, 3)(1,3)
(0,4)(0, 4)(0,4)
{2}\{2\}{2}