To think through P3.1, I decided to go back and read P.46 carefully. You might notice that at the bottom of the page there is a proof of why ax^2 +bx+c is formally Theta(x^2). The fun part about this kind of proof is not the proof itself. It's usually why the author construct such a proof. I spend some time to think it through and the construction is very cute.
This is very helpful, I think I can finally solve P3.1(c) correctly.
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