For the series ∑n=1∞(x−2)nn⋅3n\sum_{n=1}^{\infty} \frac{(x-2)^n}{n \cdot 3^n}∑n=1∞n⋅3n(x−2)n, what is the interval of convergence?
(−1,5)(-1, 5)(−1,5)
[−1,5)[-1, 5)[−1,5)
(−1,5](-1, 5](−1,5]
[−1,5][-1, 5][−1,5]