I was told to use algrebaic manpulation to find the limit for
lim --> 4
$\displaystyle \frac{2|{x-4}|}{x-4}$
you get 2 if you approach from the right and you get -2 if you appoach from the left.
Hence there is no limit.
$\displaystyle {|u|\over u}=1$ if u>0 and $\displaystyle {|u|\over u}=-1$ if u<0.
Hence there is no limit.
Hence there is no limit.
Hence there is no limit.