Suppose that the power series SCn(x-2)^n converges when x = 5 and diverges when x = -5.
Which of the following are true, false or not possible to determine?
A) The power series converges at x = 4
B) The power series converges at x = -4
C) The power series converges at x = 7
D) The power series converges at x = -7
What can be said about the radius of convergence of the power series?

It would be great if anyone could explain how you do this and how you came to a solution. Thanks!

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