Try not to use L'Hôpital!

Calculus Level 2

Find the value of $\displaystyle\lim_{x\to0} \left( \frac1x - \frac1{\sin x} \right)$ .

Alternatively, find the value of the reciprocal function minus the cosecant function, as the variable approaches zero from both sides.

+\infty

does not exist 1

-\infty

\pm\infty