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Calculus 2 question!?

0 votes

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

asked Apr 21, 2014 in CALCULUS by anonymous
reshown Apr 21, 2014 by moderator

1 Answer

0 votes

image

It is in the form image

As x tends to 0 i.e at image

image

Here we get image form.

When we get image 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.

image

Now, image

image

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

image

image

image

image

image

The solution is

image

answered Apr 21, 2014 by Johncena Apprentice

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