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Prove the following statements using the formal definition of Big-O, Big-Theta and Big-Omega notations: 1 + 2n + 3n2 + 5n3O(n3) n3 + 5(n2) but

Prove the following statements using the formal definition of Big-O, Big-Theta and Big-Omega notations:

1 + 2n + 3n2 + 5n3O(n3)

n3 + 5(n2) but not(n2)

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