3) Which of the following statements are true? 1 OO 1In+1 a) 1 + all dx = 1In + 1 n=0 .0.1 0.001 b) arctan(x2) dx > X 0 3 15 - 7n + 14n2 + 3 c) The power series n19 + 2n12 + 34n6 + 8 -x has radius of convergence R = 1 n=0 OO nn d) The power series M x" has radius of convergence R = 0. X n! n=0 e) If f (k) (0) = 0 for all k = 0, 1, 2, 3, . . ., then f(x) = 0 for all x E R