Problem F1Work with your team to prepare a solution to the following problem.Determine whether each of the following series converges absolutely(AC), converges condition-ally (CC),or diverges.(a)??5n+n2(n-1)!(b)??nn(2n)!Hints and things to explain in your presentation.(i) Remind your audience that iff(n) and g(n) are positive, then O(f(n))O(g(n)) meansthat the series ??f(n)g(n) converges absolutely(AC), and otherwise ??f(n)g(n) diverges. Usethis framework to predict the convergence or divergence of each series. Then apply arigorous series test to confirm your prediction.(ii) The ratio test is very useful for evaluating series involving factorials.(iii)In part (a), show how (n-1)!n! simplifies to1n.(iv)In part (b), show how (2n)!2(n+1)! simplifies to1(2n+2)(2n+1).