Limited edition

Calculus Level 4

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

Source: Bilkent University, 1st Midterm Question.
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