Question: 3. Asymptotic Notation Properties (a) (5 points) Prove that if f(n)-O(g(n)) and f2(n)-O(92(n)) then fi(n).f2(n)- (b) (5 points) Prove that if f(n) = o(g(n)) and

3. Asymptotic Notation Properties (a) (5 points) Prove that if f(n)-O(g(n)) and f2(n)-O(92(n)) then fi(n).f2(n)- (b) (5 points) Prove that if f(n) = o(g(n)) and g(n) = O(h(n)) then f(n) = o(h(n)). Note (c) (5 points) Disprove that f(n)-O((n) O(gi(n).g2(n)) that this is "little-O" show a function f(n) for which this does not hold. in general by showing a counterexample

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