Calculus 2 question!?

Question

Evaluate the following limit: lim as x approaches 0 (x-sin(x))/(x-tan(x))

Answer 1

It is in the form

As x tends to 0 i.e at

Here we get form.

When we get form, we can solve it by using L'hospital's rule.

According to L'hospital's rule, apply derivative of numerator and denominator and then solve it.

Now,

Again we get form, apply L'hospital's rule.

The solution is