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For each of the pairs of functions fand g given in the table below, determine if f(n)-O(g(n)), (g(n)), (g(n), o(g(n), or (g(n)) and justify your

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For each of the pairs of functions fand g given in the table below, determine if f(n)-O(g(n)), (g(n)), (g(n), o(g(n), or (g(n)) and justify your answers. More precisely, do the following for each pair of the given functions: -if you decide f(n) : 0(g(n)) / (g (n)), then find the two constants c>0 and no, where f(n) S cg(n)/f(n)2 cg(n) for all neno -if you decide fin)- olg(n)/wlg(n)), then show the limit of fn)/g(n) is O/, where n approaches . -conclude that f(n) = (g(n)) if you decide that f(n) is both 0(g(n) and (g(n)) gtr) n log n n log log n) n-100 rt log2 n n log (n2) 2

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