Can you help me? Must be on paper.

1. For each of the following series, decide whether the series converges absolutely, con- verges conditionally or diverges. Justify your answer. Make sure to mention the tests and theorems that you use to reach your conclusion (the divergence test, the comparison test, the Alternating Series Theorem, "if _ jan| converges then E an con- verges", etc. On the other hand, you may state without proof that decreases to zero, or that r" grows faster to infinity than n* (for constant r > 1, k > 0), or that In(n) grows to infinity more slowly than vn, etc. (2 points each) (a) > (-1)*- 2k + 1 k In(k + 3) (b) (-1) & V4* + 1 2* + 3k-2 (c) (1)*+1 2k + 1 k2+1 1 + 2 cos(1 + 2n) (d) > n= 1 n2 (e) (-1) In(22+1) n-2 n In(n + 1) (-3)n+5 (f) 2 + 50+1 n-2 (g) (-2)" 72 + 2n n-2