1. Arrange the below functions in a list so that each function is big-O of the next function: n/(5,999,000), 22 + 54n, login, n, 5.5", Vn logn, (n!)3 You do not need to provide a proof. Answer. 2. Use the Basic Definition to prove that f(n) = 5n4 2n3 +n3 8n2 5n +3 N(n4). For finding the witnesses C and k use the following methods: (a) Ad-hoc calculations. (b) General Procedure. Answer. 3. For the following pairs of functions, determine which function grows faster using the limit theorem. f(x) = x2 log x, g(x) = 2.3