# What is the limit of x/3 as x approaches 6?

Aug 29, 2014

You need to use 2 limit laws to answer this question: ${\lim}_{x \to a} x = a$ and the constant multiplier limit law.

${\lim}_{x \to 6} \frac{x}{3} = {\lim}_{x \to 6} \frac{1}{3} \cdot {\lim}_{x \to 6} x$
$= \frac{1}{3} \cdot 6$
$= 2$

The answer looks obvious, but make sure that you break everything down into the limit laws.