Question: 3. (U & G-required) [40 points] Using the formal definition of the asymptotic notations, prove the following statements: a) 2n+ + 2nd E O(n5) b)

3. (U & G-required) [40 points] Using the formal definition of

3. (U & G-required) [40 points] Using the formal definition of the asymptotic notations, prove the following statements: a) 2n+ + 2nd E O(n5) b) 5n2 + 2000 EN(n) c) n! E O(n") d) 2n3 + 10 O(n)

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