For which values does the series ∑n=1∞(−1)n(x−1)nn2\sum_{n=1}^{\infty} \frac{(-1)^n (x-1)^n}{n^2}∑n=1∞n2(−1)n(x−1)n converge?
Converges on [0,2][0, 2][0,2]
Converges only for 0<x<20 < x < 20<x<2
Converges only at x=1x = 1x=1
Converges on (0,2)(0, 2)(0,2)