use the graph of the function f shown to the right to estimate the indicated function values and limits…
use the graph of the function f shown to the right to estimate the indicated function values and limits. complete parts (a) through (e) below.\n(a) find the value of $lim_{x\rightarrow2^{-}}f(x)$. select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. $lim_{x\rightarrow2^{-}}f(x)=square$\nb. the limit does not exist.
Answer
Explanation:
Step1: Analyze left - hand limit
To find $\lim_{x\rightarrow2^{-}}f(x)$, we look at the behavior of the function $f(x)$ as $x$ approaches $2$ from the left - hand side.
Step2: Observe the graph
As $x$ approaches $2$ from the left (values of $x$ less than $2$ getting closer to $2$), the $y$ - values of the function approach $3$.
Answer:
A. $\lim_{x\rightarrow2^{-}}f(x)=3$