Question

Limits question? will post picture

Answer 1

Hint:
For one-sided limits, plug the number in for the function it is defined at. For two-sided limits, if:
\[
\lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)
\]Then, the limit is such value, if that is not the case, then the limit does not exist.

Answer 2

for b then the limit would not exist? and for c also?

Answer 3

No, the limit does exist for B and C. My statement above was for two-sided limits. But, we have that:
\[
\lim_{x\to -1^-}f(x)=-2\\
\lim_{x\to-1^+}f(x)=\lim_{x\to-1^+}x-1=-1-1=-2
\]So, the limit for question C, also exists and is -2.