1. (25 pts) For each of the pairs of functions fand g given in the table below, determine if f(n)=0(g(n)), 2(g(n)), g(n), og(n), or wg(n)) and justify your answers. More precisely, do the following for each pair of the given functions: - if you decide fn) = O(g(n))/(g(n)), then find a constant c>0, where f(n) s cg(n)/ f(n) cg(n) for all n21. - if you decide fn) = 0(g(n)/ wag(n)), then show the limit of f(n)/g) is 0/-0, where n approaches - Conclude that f(n) = (g(n)) if you decide that f(n) is both O(g(n)) and Q(g(n)) 2n-1 g(n) 100n n log n n15 n log? n n3 n log (n?) n log (log n) 22 2n-1