Answer:
limit does not exists.
Step-by-step explanation:
From the given graph it is clear that the function approaches to 4 when x is approaches to 2 from left. So,
[tex]\lim_{x\to 2^-}f(x)=4[/tex]
The function approaches to -4 when x is approaches to 2 from right. So,
[tex]\lim_{x\to 2^+}f(x)=-4[/tex]
Now,
[tex]4\neq -4[/tex]
[tex]\lim_{x\to 2^-}f(x)\neq \lim_{x\to 2^+}f(x)[/tex]
Since, left hand limit is not equal to right hand limit, therefore, limit does not exists.
