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**Question:** What is the function $$g(n)$$ that gives the tightest bound on $$f_2(n) = \mathcal{O}(g(n))$$? **Solution:** the answer is $$g(n) = n^2$$. For any $$r < 2$$, there is **no** constant $$M$$ such that $$|f_2(n)| \leq Mn^r$$ for all...