(40 pts in total; 20 pts each) Prove the transitivity on Big Omega and little omega. That is, to prove the following two conclusions: If f(n)-Ag(n)) and 1(n)-(h(n)), then f(n) 2(h(n)). If f(n)o(g(n)) and g(n) - o(h(n)), then f(n)-o(h(n))