Can someone please refresh my memory as to how I'd solve down on an equation as such? I seem to be quite foggy with pre-calc. :/
$\displaystyle lim x->2$
$\displaystyle |x-2|$
____________________
$\displaystyle x-2$
_______= divided by. :P
Can someone please refresh my memory as to how I'd solve down on an equation as such? I seem to be quite foggy with pre-calc. :/
$\displaystyle lim x->2$
$\displaystyle |x-2|$
____________________
$\displaystyle x-2$
_______= divided by. :P
If you mean
$\displaystyle \lim_{x \to 2}\frac{|x-2|}{x-2}$
This limit does not exist.
The limit from the left is
$\displaystyle \lim_{x \to 2^-}\frac{2-x}{x-2}=-1$
The limit from the right is
$\displaystyle \lim_{x \to 2^+}\frac{x-2}{x-2}=1$
Since the left and right limits are not equal the limit does not exist.