Question: Computer Science, Algorithm Design and Analysis class Let f (n) and g(n) be asymptotically positive functions. Prove or disprove each of the following conjectures. 1.

Computer Science, Algorithm Design and Analysis class

Let f (n) and g(n) be asymptotically positive functions. Prove or disprove each of the following conjectures. 1. f (n) = O(g(n)) implies 2f (n) = O(2g(n)). 2. f (n) = O((f (n))2).

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