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