We have the next graph
And we must determine the limit of the function when x -> 1
In order to find the limit we must use that :
1. One-sided limits must be equal
[tex]\lim _{x\to1^-}f(x)=4[/tex]
And,
[tex]\lim _{x\to1^+}f(x)=-2[/tex]
We can see that they are different, then the limit does not exist.
ANSWER:
A. The limit does NOT exist
