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Question 1 [20 marks a. [10 marks] Prove that Llog2 n] + 1 = log2 (n + 1)], where n is a positive integer. b.

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Question 1 [20 marks a. [10 marks] Prove that Llog2 n] + 1 = log2 (n + 1)], where n is a positive integer. b. [10 marks] Use the definition of the big-theta notation, to prove that n(n-1)/2 (n)

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