Answer:
Limit does not exist at x=3.
Step-by-step explanation:
Using the given graph, we need to check whether the limit exists or not.
From the given graph it is clear that
1. When x approaches to 3 from the left side then function approaches to -1.
2. When x approaches to 3 from the right side then function approaches to -3.
3. When x=3, the value of function is 7.
So, we conclude that
[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]
[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]
[tex]\lim\limits_{x\to 3}f(x)=7[/tex]
Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.
