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