Answer:
4
Explanation:
To evaluate a limit, we look at both right and left limi s. If the left and right limits both approach the ssme value, then the limit exists. t
As can be observed from the graph, as we reach x = 2 from the right, the functionseems to reach y = 4. In other other words,
[tex]\lim_{x\to2^+}f(x)=4[/tex]Note the tiny plus sig in the limit . This tells us that we are approaching the limit from the right.
Now let us take a look atthe rleft-hand limit.
Now as we approach x = 2 from the left we see that the function seems to take the value y =4. In other words,
[tex]\lim_{x\to2^-}^f(x)=4.[/tex]Note also the tiny negative sign in the limit. This tells us that we are approaching the limit from the left.
Now both the left and the right-hand limits approach the same value; therefore, the limit exists and its value is the following.
[tex]\boxed{\lim_{x\to2}f(x)=4.}[/tex]