Asymptotic Notations (a) Which one of the following is a wrong statement? 1. O(n) + O(n) = Q(n) 2. O(n) + O(n) = O(n) 3. O(n) + Q(n) = 0(n) 4. f(n) = o(g(n)) implies g(n) = Q(f(n)) (b) Use the basic...

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Extracted text: Asymptotic Notations (a) Which one of the following is a wrong statement? 1. O(n) + O(n) = Q(n) 2. O(n) + O(n) = O(n) 3. O(n) + Q(n) = 0(n) 4. f(n) = o(g(n)) implies g(n) = Q(f(n)) (b) Use the basic definition of 0-notation to show n2 -100 n log10 n = 0(n2).