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Assume that f(n) = O(g(n)). Can g(n) = O(f(n))? Are there cases where g(n) is not...

Assume that f(n) = O(g(n)). Can g(n) = O(f(n))? Are there cases where g(n) is not O(f(n))? Prove your answers (give examples for the possible cases as part of your proofs, and argue the result is true for your example).

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