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40 points Prove each of the following statements by applying the definition of Big-o That is, derive an inequality (show your work) and identify the

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40 points Prove each of the following statements by applying the definition of Big-o That is, derive an inequality (show your work) and identify the witness constants C and k as per the definition of Big-O. (a) 2 17-0(3") (b) n log2(n) O(n2) (d) log2(n+1) O(log2(n)) (f) n log2 (32n) O(n log2 (n)) (g) n2 -0(3") (h) log2 (n!)- O(n log2 n)

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