hey everyone, i am new here and i need help as i have final today.

I have no problem with dealing with limits, but i am having troubles with this one.

lim sin(x^2) / [ ( e^x ) - x - 1 ]

x-->0

first, I know that this problem should be solved using l'hopital's rule.

as i did it using it, i got to lim [ - cos(x^2) . 2x . 2x . 2x ] / e^x

x-->0

so my answer would be zero.

is this right? because my teacher said in class that the answer for this should be 2 and i wonder how she got 2.

please anyone would help?