A calculus problem by Aditya Raj

Calculus Level 4

$\lim_{x\to0} \dfrac{\displaystyle \int_{1 + \sin x}^1 e^{-t^2} \, dt + \int_{\sin x}^{\cos x - 1} e^{t^2} \, dt }{x^2} = \, ?$

-2 2 -5 4