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Exercise 9. For each statement below, write whether it is true or false. For each false statement, write a counter-example. Give me explanation on 3

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Exercise 9. For each statement below, write whether it is true or false. For each false statement, write a counter-example. Give me explanation on 3 and 5, f(n) = O(n) 1 g(n) = 12(n) = f(n)g(n) = 12(n) f(n) = (1) nf (n) = O(n) f(n) = 2(n) ^g(n) = O(n2) = g(n)/f(n) = O(n) f(n) = O(na) g(n) = O(n) = f(g(n)) = O(n) f(n) = O(log n) + 2f(n) = O(n) f = 2(log n) + 2f(n) = N(n)

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