Wednesday 23 December 2015

calculus - Evaluate limit $lim_{x rightarrow 0}left (frac 1x- frac 1{sin x} right )$

Can someone provide me with some hint how to evaluate this limit?
$$
\lim_{x \rightarrow 0}\left (\frac 1x- \frac 1{\sin x} \right )
$$
I tried l'hopital's rule but it didn't work.

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