Which of the following series does the ALTERNATING TEST ensure convergence?

OO E(-1)n (n2)! n=0 (2n)! E(-1)" In2 cos n=1 n E(-1)2 (n!)? n=0 (2n)! n n=0 (-1)" In n+1 n=1 n E(-1)" arctan n=1 n (-1)2 n=0 n ( - 1 ) n 3n - 1 n=1 n2 ( - 1 ) 2 2n - 1 n=1 2n + 1 E(-1)" arctan (un) n=1