# How do you use L'hospital's rule to find the limit #lim_(x->0)(x-sin(x))/(x-tan(x))# ?

##### 1 Answer

Apr 11, 2018

#### Explanation:

The limit

is of the form

If

Thus,

This, again is of the

We could use L'hospital's rule yet again, but it is much simpler to use simple trigonometry to go ahead :

and thus