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