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Let f(N) and g(N) be asymptotically positive functions. Disprove each of the following statements using a counterexample: a. f(N) = O(g(N) implies g(N) = O(f(N)).

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Let f(N) and g(N) be asymptotically positive functions. Disprove each of the following statements using a counterexample: a. f(N) = O(g(N) implies g(N) = O(f(N)). b. f(N) + g(N) = theta (min(f(N), g(N)))

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