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Let f1 and f2 be asymptotically positive non-decreasing functions. Prove or disprove each of the following...

Let f1 and f2 be asymptotically positive non-decreasing functions. Prove or disprove each of the following conjectures. To disprove give a counter example.

If f1(n) = O(g(n)) and f2(n) = O(g(n)) then f1(n)= Θ (f2(n) ).

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