limit

[chemic_23]

1. The problem statement, all variables and given/known data
http://i106.photobucket.com/albums/m254/xingfang_01/lmt.jpg


2. Relevant equations

I trying to figure out if how will you know if which of the following h(x) will be the right/left hand limit as x approaches to 0, as x approaches to 1, as x approaches to 2? I'm confused... please help

3. The attempt at a solution
I really don't have any idea

[HallsofIvy]

To the left of 0, f(x) is identical to x. Do you know how to do lim_{x\rightarrow 0} x? If so, that is exactly lim_{x\rightarrow 0^-} f(x).

Just to the right of 0, f(x) is identical to x2 and so the "limit from the right", \lim_{x\rightarrow 0^+} f(x) is the same as \lim_{x\rightarrow 0} x^2.