6. Suppose functions f(n) > 0 and g(n) > 0 satisfy f(n) = 0(9(n)). Prove or give a counterexample to each of the following. (a) log, f(n) = O(log, 9(n)). To avoid an obscure special case, assume that...

6. Suppose functions f(n) > 0 and g(n) > 0 satisfy f(n) = 0(9(n)). Prove or give a counterexample to each of<br>the following.<br>(a) log, f(n) = O(log, 9(n)). To avoid an obscure special case, assume that g(n) > 2 for all n.<br>(b) 2/(n) = 0(29(n))<br>%3D<br>%3D<br>(c) (f(n))² = 0(g(n))

Extracted text: 6. Suppose functions f(n) > 0 and g(n) > 0 satisfy f(n) = 0(9(n)). Prove or give a counterexample to each of the following. (a) log, f(n) = O(log, 9(n)). To avoid an obscure special case, assume that g(n) > 2 for all n. (b) 2/(n) = 0(29(n)) %3D %3D (c) (f(n))² = 0(g(n))")

Jun 10, 2022

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6. Suppose functions f(n) > 0 and g(n) > 0 satisfy f(n) = 0(9(n)). Prove or give a counterexample to each of the following. (a) log, f(n) = O(log, 9(n)). To avoid an obscure special case, assume that...

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