Please solve the attached question, and please show all work that is needed to get the answer. I am trying to better understand the process/the question.

Thank you. =)

Determine the radius and interval of convergence of the following power series. 2. 2k kx k! . . . . . The radius of convergence is R = Find the interval of convergence. Select the correct choice below and fill in the answer box to complete your choice. O A. The interval of convergence is {x: x =} (Simplify your answer. Type an exact answer.) O B. The interval of convergence is (Simplify your answer. Type an exact answer. Type your answer in interval notation.) Q3