Question

graph of h(x)

1. $lim_{x

ightarrow2^{-}}h(x)=-infty$

1. $lim_{x

ightarrow2^{+}}h(x)=infty$

1. $lim_{x

ightarrow3^{-}}h(x)=$

1. $lim_{x

ightarrow3^{+}}h(x)=3$

Explanation:

Step1: Analyze left - hand limit as x approaches 3

As \(x\) approaches \(3\) from the left side (\(x\to3^{-}\)), we look at the values of the function \(h(x)\) on the graph for \(x\) values less than \(3\) but getting closer to \(3\).

Step2: Determine the value

From the graph, as \(x\) approaches \(3\) from the left, the function \(h(x)\) approaches \(3\).

Answer:

3