Limits and Direct Substitution

[Qube]

Why wouldn't answer choice "C" be true as well?

[PLAIN]http://i.min.us/idPNiK.png

Homework Equations

I thought that you could use direct substitution on this limit.

The Attempt at a Solution

I did get answer choices A and B. For the limit to exist, both the left and right hand limits have to match up.

 

[SammyS]

f(0) might not be defined or it may be that f(0)≠2. In other words, f(x) might have a removable discontinuity at x=2.