($13 _|_ 2)2k+1 . \"0 3 4. [23 pts] Let f (:12) = Z k=1 k2 - 25": a. Determine the radius of convergence of the power series. b. Determine the interval of convergence of the power series. If applicable. determine if the power series converges at the endpoints of the interval. c. Without doing any additional calculations, determine if f'(6) converges or diverges. You must justify your answer. d. Determine f(31)(i2). You mustjustify your