Question

In Problems 17–22, use the graph shown to determine if the limit exists. If it does, find its value.

$17.\underset{x\to 2}{\lim }f\left(x\right)$

Short answer

The required value is$\underset{x\to 2}{\lim }f\left(x\right)=3$.

Step-by-step solution

Step 1. Given information.

Given function is $\underset{x\to 2}{\lim }f\left(x\right)$whose graph is as follows:

Step 2. Finding the required limit.

To find the limit of the function as x approaches to 2 of f(x).

From the graph, the value of x approaches to 2 , the value of the function gets closer to 3 .

So,$\underset{x\to 2}{\lim }f\left(x\right)=3$.