Please solve each problem identically to how the instructions ask.

For the following infinite series, to determine whether the given infinite series converges or diverges, please follow the instructions below: . Quote the statement of the test from our textbook that you are going to use. . From the test that you quote, please verify that the given infinite series satisfies the conditions. According to the test that you quote, please write your conclusion. . You will use the following test (the test that you are quoting) only once: Test for Convergence, Geometric Series Test, Integral Test, Ratio Test, Root Test, Direct Comparison Test, Limit Comparison Test, Alternating Series Test. . When using Direct Comparison Test or Limit Comparison Test, you may use Geometric Series Test or P-Series Test more than once. . When needed, you may use some identities directly. For example, lim (1+ 1)" = e. 1: 2 + sin n 2: 3 - 4+ - 16 64 (-4) n 3 30-1+ ... 3: n2e-n3 n=1 4: 2n n=1 5: SVn2 + 4 n=] VAn + 5 6: (-1)" (2n)! (n!)2 7: (-1)" - n n=1 n2 + 4 8: ( n+ 1 )