DO Determine whether the alternating series ) (- 1)+ 1 5 converges or diverges. n=1 n2 Choose the correct answer below 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 converges because it is a geometric series with r = O B. The series does not satisfy the conditions of the Alternating Series Test but diverges by the Root Test because the limit used does not exist. O C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p = O D. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p = O E. The series converges by the Alternating Series Test