Question

The graph of a function $f\left(x\right)$ in the neighborhood of $x=4$ is given. Find the value of $\underset{x\to 4}{lim}f\left(x\right)$.

• A. 2
• B. f(4)
• C. 4
• D. limit does not exist

Answer 1

The correct option is D

limit does not exist

We can see from the graph that the function does not exist for values greater than 4. limit of the function at x = 4 will exist only if the function is approaching the same value from both the sides of 4, that is 4+ and 4-. In this case the left hand limit exists and the right hand limit does not exist. So, the limit does not exist.