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Suppose g(n) 2 1 for all n, and that f(n) = g(n) +L, for some constant L and all n. Prove that f(n) = (g(n))

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Suppose g(n) 2 1 for all n, and that f(n) = g(n) +L, for some constant L and all n. Prove that f(n) = (g(n)) Prove or disprove: if f(n) = (g(n)) and f(n) 2 1 and log(g(n)) 2 1 for sufficiently large n, then log(f(n)) = O(log(g(n)))

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