graph of h(x)\n9. $lim_{x\rightarrow2^{-}}h(x)=-infty$\n10. $lim_{x\rightarrow2^{+}}h(x)=infty$\n11…

graph of h(x)\n9. $lim_{x\rightarrow2^{-}}h(x)=-infty$\n10. $lim_{x\rightarrow2^{+}}h(x)=infty$\n11. $lim_{x\rightarrow3^{-}}h(x)=$\n12. $lim_{x\rightarrow3^{+}}h(x)=3$

graph of h(x)\n9. $lim_{x\rightarrow2^{-}}h(x)=-infty$\n10. $lim_{x\rightarrow2^{+}}h(x)=infty$\n11. $lim_{x\rightarrow3^{-}}h(x)=$\n12. $lim_{x\rightarrow3^{+}}h(x)=3$

Answer

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