This is actually one question. Please help.

For each of the following series, determine whether the series converges absolutely, con- verges conditionally, or diverges. Fill in the table with your answer and give a brief ex- planation (i.e., what test did you think about?) Series Absolute Conditional Divergent Explanation 4n n! Zin=1 (2n)! =1 2n 2n+1 Lin=1 cos (nTT) n Lin = 1 n - 271 =1 cos (n'3) En=3 (Invn + 1 - Invn) 32 +42n 1=5 2n+50 (-1) 2 Lin=7 Vn4+1 Lin=g nn 10o ( - 1 ) .n! Lin=1 (2n)n sin( 12 ) Vn