Question

Find$\underset{x\to 2^{-}}{\lim }f\left(x\right)$.

Short answer

The limit$\underset{x\to 2^{-}}{\lim }f\left(x\right)$is$-\infty$.

Step-by-step solution

Step 1. Graph the function f(x)

We have been given$\underset{x\to 2^{-}}{\lim }f\left(x\right)$.

Now let us graph the function with the help of a graphing utility.

Step 2. Finding the limit from the graph. 

In the graph, let us consider the behavior of $f\left(x\right)$near $x=2$when approaching from the left side.

The graph approaches $-\infty$as $x$approaches $2$.

That is,$\underset{x\to 2^{-}}{\lim }f\left(x\right)=-\infty$.