Question

for the function f(x) shown below, determine lim_{x→3^{-}} f(x).

Explanation:

Step1: Understand left - hand limit

The notation $\lim_{x
ightarrow3^{-}}f(x)$ means the limit of the function $f(x)$ as $x$ approaches 3 from the left - hand side.

Step2: Examine the graph

Looking at the graph of the function $f(x)$, as $x$ values get closer and closer to 3 from the left (values less than 3), the $y$ - values of the function approach - 6.

Answer:

• 6