Determine whether the alternating series ) (- 10+ 1n2 +2 converges or diverges. n=1 n2 + 1 . . ... Select the correct choice and, if necessary, fill in the answer box to complete your choice. O A. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the nth-Term Test fails to exist. O B. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p = O C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = O D. The series converges by the Alternating Series Test. O E. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p =