Determine the interval of convergence for the series ∑n=1∞(x−3)nn⋅5n\sum_{n=1}^{\infty} \frac{(x-3)^n}{n \cdot 5^n}∑n=1∞n⋅5n(x−3)n.
(−2,8)(-2, 8)(−2,8)
[−2,8)[-2, 8)[−2,8)
(−2,8](-2, 8](−2,8]
[−2,8][-2, 8][−2,8]