Determine whether the alternating series E (-1)^n+1 (n/8)^n converges or diverges. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with pequals nothing. B. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with pequals nothing. C. 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. D. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with requals nothing. E. The series converges by the Alternating Series Test.