use the graph of the function f shown to estimate the following limits and the function value. complete…

use the graph of the function f shown to estimate the following limits and the function value. complete parts (a) through (d). (a) find the limit $lim_{x\rightarrow - 2^{-}}f(x)$. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. $lim_{x\rightarrow - 2^{-}}f(x)=square$ (type an integer or a decimal.) b. the limit does not exist.

use the graph of the function f shown to estimate the following limits and the function value. complete parts (a) through (d). (a) find the limit $lim_{x\rightarrow - 2^{-}}f(x)$. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. $lim_{x\rightarrow - 2^{-}}f(x)=square$ (type an integer or a decimal.) b. the limit does not exist.

Answer

Explanation:

Step1: Analyze left - hand limit

To find $\lim_{x\rightarrow - 2^{-}}f(x)$, we look at the values of the function $f(x)$ as $x$ approaches $-2$ from the left - hand side (values of $x$ less than $-2$ but getting closer to $-2$).

Step2: Observe the graph

As $x$ approaches $-2$ from the left - hand side, the $y$ - values of the function approach $-1$.

Answer:

A. $\lim_{x\rightarrow - 2^{-}}f(x)=-1$