Question

Find$\underset{x\to -4^{+}}{\lim }f\left(x\right)$.

Short answer

The limit$\underset{x\to -4^{+}}{\lim }f\left(x\right)$is$-2$.

Step-by-step solution

Step 1. Graph the function f(x)

We have been given$\underset{x\to -4^{+}}{\lim }f\left(x\right)$.

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

Step 2. Finding the limit from the graph.

In the graph, consider the behavior of $f\left(x\right)$near$x=-4$when approaching from the right side.

The real value of $f(-4)=1$.

However coming from the right side, the value of the function approaches$-2$.

That is$\underset{x\to -4^{+}}{\lim }f\left(x\right)=-2$.