Evaluate the following limit : lim(x→0) (tan x - sin x)/x^3

Question

Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{tan\,\text x-sin\,\text x}{\text x^3} \)

lim(x→0) (tan x - sin x)/x³

Answer 1

\(\lim\limits_{\text x \to0}\cfrac{tan\,\text x-sin\,\text x}{\text x^3} \)

lim(x→0) (tan x - sin x)/x³

To Find: Limits

NOTE: First Check the form of imit. Used this method if the limit is satisfying any one from 7 indeterminate form.

 In this Case, indeterminate Form is \(\cfrac00\) 

So, by using the above formula, we have