Question: Can you explain these problems, please. Its for an algorithms class. 1. (25 pts) For each of the pairs of functions fand g given in

Can you explain these problems, please. Its for an algorithms class.

Can you explain these problems, please. Its for an algorithms class. 1.

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), o(g(n), or w(g(n)) and justify your answers. More precisely, do the following for each pair of the given functions: - if you decide f(n) = (g(n))/(g(n)), then find a constant c>, where f(n) scg(n)/fin) cg(n) for all n21. - if you decide f(n) = (g(n)) / wg(n)), then show the limit of f(n)/g(n) is 0/-0, where n approaches - Conclude that f(n) = (g(n)) if you decide that f(n) is both O(g(n)) and 2(g(n)) f(n) 2n-1 n15 g(n) 100n n log n n3 n log (log n) n2 logn n log (n) 21 27-1

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