Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.a. The interval of convergence of the power series ?ck (x ? 3)k could be (?2, 8).b. ?(?2 x)k converges for ?1/2

Solution 45EStep 1:Given thata. The interval of convergence of the power series ck (x 3)k could be (2, 8).b. (2 x)k converges for 1/2