) Which of the following statements are true? 001 1In+1 a) idx = ( - 1 ) 2 1 + all 1In + 1 n=0 .0.1 0.001 b ) arctan(x2 ) dx > 0 3 n15 - 7n6 + 14n2 + 3 c) The power series has radius of convergence R = 1. n19 + 2n12 + 34n6 + 8 n=0 nn M 8 d) The power series x" has radius of convergence R = 0. 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