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2. (U & G-required) [20 points] Using the formal definition of the asymptotic notations, prove the following statements: a) 10n2+2nO(n3) b) 2n3+15n(n2) c) n!O(nn) d)

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2. (U \& G-required) [20 points] Using the formal definition of the asymptotic notations, prove the following statements: a) 10n2+2nO(n3) b) 2n3+15n(n2) c) n!O(nn) d) 10n2+2/O(n)

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