Determine whether the alternating series ∑n = 1∞(−1)n+13 nn3 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 r = B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is E. The series converges by the Alternating Series Test.

Determine whether the alternating series ∑n = 1∞(−1)n+13 nn3 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 r = B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is E. The series converges by the Alternating Series Test.

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Determine whether the alternating series n = 1 ( 1 ) n + 1 3 n n 3 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 r = B. The series does not satisfy the conditions of the Alternating Series Test but diverges because the limit used in the Ratio Test is C. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r = D. The series does not satisfy the conditions of the Alternating Series Test but converges because the limit used in the Root Test is E. The series converges by the Alternating Series Test.

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