Evaluate the following limit : lim(x→0) (sin x/4)/4

Question

Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{sin\,\text x/4}{\text x} \)

lim(x→0) (sin x/4)/4

Answer 1

\(\lim\limits_{\text x \to0}\cfrac{sin\,\text x/4}{\text x} \)

lim(x→0) (sin x/4)/4

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 \(\cfrac00\) 

Formula used : \(\lim\limits_{\text x \to 0}\cfrac{sin\,\text x}{\text x}=1\) 

So, by using the above formula, we have