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2. [5+5 pts] Using the basic definition of (a) (big-omega) notation, prove that 7n510(n4). (b) O (big-oh) notation, prove, that 5n4+5O(n4) 3. [5+5pts] Which of

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2. [5+5 pts] Using the basic definition of (a) (big-omega) notation, prove that 7n510(n4). (b) O (big-oh) notation, prove, that 5n4+5O(n4) 3. [5+5pts] Which of the following statements are true? Explain your answer by using the limit rule ( p.84 ) (a) 5n2+10nn+2log10nO(n2) (b) n!((n+1)!)

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