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Consider functions f(n) and g(n) as given below. Use the most precise asymptotic notation to show how function f is related to function g in each case ( i. e. , f ∈ ?(g)). For example, if you were given the pair of functions f (n) = n and g(n) = n2 then the correct answer would be: f ∈ o(g). To avoid any ambiguity between O(g) and o(g) notations due to writing, use Big-O(g) instead of O(g).

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