Let $$\alpha$$ and $$\beta$$ be the distinct roots of $$ax^2 + bx + c = 0$$, then $$\lim_{x \to \alpha} \frac{1 - \cos(ax^2 + bx + c)}{(x - \alpha)^2}$$ is equal to

A

$$\frac{a^2}{2}(\alpha - \beta)^2$$

B

$$0$$

C

$$-\frac{a^2}{2}(\alpha - \beta)^2$$

D

$$\frac{1}{2}(\alpha - \beta)^2$$