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If $\alpha$ and $\beta$ are the roots of the equation $a x^2+b x+c=0$, then $\lim _{x \rightarrow \alpha} \frac{1-\cos \left(a x^2+b x+c\right)}{(x-\alpha)^2}=$
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The correct answer is:
$\frac{a^2(\alpha-\beta)^2}{2}$
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