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Order the following functions so that for all i, j, if fi comes before fj in the order then fi = O(fj ). Prove that

Order the following functions so that for all i, j, if fi comes before fj in the order then fi = O(fj ). Prove that your ordering is correct.

f1(n) = 3n f2(n) = 12 f3(n) = n f4(n) = n! f5(n) = n^2 + 100n f6(n) = n + log(n)

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