If $\alpha$, $\beta$ are the distinct roots of x2 + bx + c = 0, then $\mathop {\lim }\limits_{x \to \beta } {{{e^{2({x^2} + bx + c)}} - 1 - 2({x^2} + bx + c)} \over {{{(x - \beta )}^2}}}$ is equal to :

Question

If $\alpha$, $\beta$ are the distinct roots of x² + bx + c = 0, then

$\mathop {\lim }\limits_{x \to \beta } {{{e^{2({x^2} + bx + c)}} - 1 - 2({x^2} + bx + c)} \over {{{(x - \beta )}^2}}}$ is equal to :

b² + 4c