Question: Problem 1 (15 points). Let f : Z+ R with f(n) = 3n 3+7n 24n+2. Show that the equation is O(n 3 ). Use the

Problem 1 (15 points).

Let f : Z+ R with f(n) = 3n 3+7n 24n+2. Show that the equation is O(n 3 ). Use the definition of O(g(x)) to solve the problem. Do not use the polynomial theorem or similar theorems to solve them.

Problem 2 (15 points). Let f : Z + R with f(n) = 5n. Show that the equation is O(n 2 ). Use the definition of O(g(x)) to solve the problem. Do not use the polynomial theorem or similar theorems to solve them.

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