m 2 . . . n+1n +2 . Determine whether the alternating series 2 (- 1) 2 converges or diverges. n=1 n +1 (E Select the correct choice and, if necessary, fill in the answer box to complete your choice. 5:} A. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r= B. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a pseries with p = C. The series converges by the Alternating Series Test. {'7 D. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p = 5'} E. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the nthTerm Test fails to exist