Find the interval of convergence for ∑n=1∞(−1)n(x−1)nn\sum_{n=1}^{\infty} \frac{(-1)^n (x-1)^n}{n}∑n=1∞n(−1)n(x−1)n.
(0,2)(0, 2)(0,2)
[0,2)[0, 2)[0,2)
(0,2](0, 2](0,2]
[0,2][0, 2][0,2]