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Math 231E. Fall 2013. HW 13 Solutions.Problem 1.In each of the following cases, you are given a set of numbers. In each case,determine whether this set of numbers can be a domain of convergence for a power series. Ifit cannot, explain why it cannot. If it can, give an example of a power series that has thisset as its domain of convergence.a. [−1,3)∑n=1(x−1)nn(2)n.b. (−1,3)c. (−1,3]