Indeterminate Expressions of the Form $0/0$: Find the indicated limits. Make sure you have an Indeterminate Expression before you apply the Rule of L'Hopital. Enter the letter "D" if the limit does not exist.
$\displaystyle\lim_{x\longrightarrow 0} \frac{\sin x}{x} =$ .
$\displaystyle\lim_{x\longrightarrow 0} \frac{e^x-1-x}{x^2} =$ .
$\displaystyle\lim_{x\longrightarrow 0} \frac{e^x-e^{-x}}{\sin(x)} =$ .
$\displaystyle\lim_{x\longrightarrow -2} \frac{x^2+5x+6}{x-2} =$ .
$\displaystyle\lim_{x\longrightarrow 2} \frac{x^2+5x+6}{x-2} =$ .