Limit question with absolute value: $ \lim_{x\to 4^{\large -}}\large \frac{x-4}{|x-4|} $ How would I solve the following limit, as $\,x\,$ approaches $\,4\,$ from the left?
$$
\lim_{x\to 4^{\large -}}\frac{x-4}{|x-4|}
$$
Do I have  to factor anything?

$$
\lim_{x\to 4^-}\frac{x-4}{|x-4|}=\lim_{x\to 4^-}\frac{x-4}{-(x-4)}=-1
$$
