4. Determine the radius and interval of convergence of the following power series. 5. Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. g (x) = In(1 - 6x) using f (x) = 1-6x a. Which of the following is the power series representation for g centered at 0? OA. - J . (6x) (6x) k OB. -62 k k - 1 k-1 6x (6x) OC. K OD. 1 6 2 k k - 1 K - 1 b. What is the interval of convergence? k 6. Consider 2kzo 5 a. Find the function represented by the series. b. What is the interval of convergence