The options for the following questions are: 1) converges conditionally, 2) converges absolutely, 3) diverges. Please provide clear explanation for these questions. Thank you.

For each part, choose the correct option. . The series (-1)" . tan 'n n= 1 [ Select ] C . The series (-1)" . ( Vn + 1-Vn) n= 1 [ Select ] C . The series 0O (-1)" . (n!)2 n=1 (2n)! [ Select ] C