Consider the function h(x) = arctan(x). (a) Find the fourth derivative of arctan(x). What can you say about the 200th derivative of h? (6) Use the geometric series to express the first derivative of arctan(x) as power series. (c) Where does your series converge and how do you know it converges to arctan(x)? (d) Compute the 200th and 201st derivatives of arctan(x) at 0! Consider the function h(x) = arctan(x). (a) Find the fourth derivative of arctan(x). What can you say about the 200th derivative of h? (6) Use the geometric series to express the first derivative of arctan(x) as power series. (c) Where does your series converge and how do you know it converges to arctan(x)? (d) Compute the 200th and 201st derivatives of arctan(x) at 0