# Thread: Limits Of An abs function

1. ## Limits Of An abs function

I was told to use algrebaic manpulation to find the limit for

lim --> 4

$\frac{2|{x-4}|}{x-4}$

2. you get 2 if you approach from the right and you get -2 if you appoach from the left.
Hence there is no limit.

${|u|\over u}=1$ if u>0 and ${|u|\over u}=-1$ if u<0.

Hence there is no limit.
Hence there is no limit.
Hence there is no limit.

3. So the limit does not exist because the limit from the right is not the same as the limit from the left