4. (13 pts) Using the fact that the Maclaurin series for tan¹ x = (-1)x2n+1 2n+1 -,-1≤x≤ 1, n=0 find the Maclaurin series for the function f(x) = x tan¹ (3x+) and state its interval of convergence. Bonus: (10 pts) Suppose g(x) = In(1 + x). Using the fact that the Maclaurin series for 00 In(1+x)=(-1)x m=1 find g(21) (0). (Notation: g(21) is the 21" derivative of g.) -1<x≤ 1,