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Calculus Level 4

If a,ba,b and cc are constants, such that limx1ax2+bx+c3(x1)2=5 \displaystyle \lim_{x\to1} \dfrac{ \sqrt{ax^2+bx+c} - 3}{(x-1)^2} = 5 , find the value of a+ca+c.

Source: Bilkent University, 1st Midterm Question.
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