(-1)* /Ē Given the series EA determine if the series converges conditionally, converges absolutely or diverges and select the test used to make your decision. Select the correct choice from each dropdown.

etermine whether the alternating series Σ (-1)+1 n=2 1 3(In n)² converges or diverges Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. OA. The series does not satisfy the conditions of the Alternating Series Test but diverges because it is a p-series with p= OB. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a p-series with p= OC. 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. OD. The series does not satisfy the conditions of the Alternating Series Test but converges because it is a geometric series with r= OE. The series converges by the Alternating Series Test

Use any convergence test to determine whether the series converges absolutely, converges conditionally, or diverges. Explain why the series meets the hypotheses of the test you select.