Evaluate the following limit : lim(x→0) (tan x/2)/3x

Question

Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{tan(\text x/2)}{3\text x} \)

lim(x→0) (tan x/2)/3x

Answer 1

\(\lim\limits_{\text x \to0}\cfrac{tan(\text x/2)}{3\text x} \)

lim(x→0) (tan x/2)/3x

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

So, by using the above formula, we have