Please HELP with this question?

Question

Find lim f(x) as x approaches negative 0 if:

f(x) = {x – 1 if x is less-than-or-equal-to -1
x^2 if -1 is less-than-or-equal-to x which is less-than-or- equal-to 0
(x + 2)^2 if x > 0}

Answer 1

If you're approaching 0 from the negative side, then you use the equation f(x) = x^2 and don't need to worry about the other two equations.
Plug zero into that, and you get f(0) = 0. That's your answer.

Answer 2

the limit appraoces 0 as x goes to -0, using x^2 for -1>x <=0

Answer 3

the relevant piece of the function is:
x^2 for x <= 0

...since you are approaching 0 from the negative direction.
So lim f(x) = 0