Question: 1.Give an example of a function f(n) such that f(n) O(n n) and f(n) (n log n)) but f(n) / (n n) and f(n) /

1.Give an example of a function f(n) such that f(n) O(n n) and f(n) (n log n)) but f(n) / (n n) and f(n) / (n log n)).

2. Prove that if f(n) O(g(n)) and f(n) O(h(n)), then f(n) ^2 O(g(n) h(n)).

3. By using the definition of prove that 4 7n^3 6n^2 + 5n 3 (n 1.5 )

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