If α, β are the distinct roots of x^2+b x+c=0, then lim_x → β (e^2(x^2+b x+c)-1-2(x^2+b x+c))/((x-β)^2) is equal to:

If $\displaystyle \alpha, \beta$ are the distinct roots of $\displaystyle x^2+b x+c=0$, then $\displaystyle \lim _{x \rightarrow \beta} \frac{\mathrm{e}^{2\left(x^2+b x+c\right)}-1-2\left(x^2+b x+c\right)}{(x-\beta)^2}$ is equal to :