# How do you evaluate the limit sin(6x)/6 as x approaches 0?

May 13, 2018

$0$

#### Explanation:

Our first step, when evaluating these limits algebraically, should be to plug in the value we're approaching:

${\lim}_{x \to 0} \sin \frac{6 x}{6} = \sin \frac{6 \cdot 0}{6} = \sin \frac{0}{6}$

With this problem, no further simplification or rewriting is necessary.

$\sin \left(0\right) = 0 ,$ so we get

$= \frac{0}{6} = 0$