Question

what is $lim_{x
ightarrow4^{-}}f(x)?$

Explanation:

Step1: Analyze left - hand limit concept

The notation $\lim_{x
ightarrow4^{-}}f(x)$ means we are looking at the value that the function $f(x)$ approaches as $x$ approaches 4 from the left - hand side (values of $x$ less than 4).

Step2: Examine the graph

Looking at the graph, as $x$ values get closer and closer to 4 from the left (values like 3.9, 3.99, 3.999 etc.), the $y$ - values of the function approach 3.

Answer:

3