What's wrong with this evaluation of $\lim _{x\to 2^-} \frac{|2x-x^2|}{x-2}$? 
Suppose we want to evaluate
$$\lim _{x\to 2^-} \frac{|2x-x^2|}{x-2}$$
Note that multiple answer choices may be correct.
I marked A and C as correct.
The websystem marked this incorrect.
I drew a graph of $-x^2 +2x$, parabola facing down, above the x-axis 0 < x < 2
So $|2x-x^2|  = -x^2 + 2x$ in the relevant interval.

It is not true that $|2x-x^{2}|=2x-x^{2}$ for all $x <2$: Take $x <0$ to see why.  So A) is not correct. The correct one is  C).
