Let α and β be the distinct roots of \(a x^{2}+b x+c=0\), then \(\lim _{x \rightarrow \alpha} \frac{1-\cos \left(a x^{2}+b x+c\right)}{(x-\alpha)^{2}}\) is equal to
1
\(\frac{a^{2}(\alpha-\beta)^{2}}{2}\)
2
\(\frac{(\alpha-\beta)^{2}}{2}\)
3
\(\frac{-a^{2}(\alpha-\beta)^{2}}{2}\)
4
0