Respuesta :

Answer: option a.

Step-by-step explanation:

The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.

In this case we are evaluating the limits when:

[tex]{x \to -3}[/tex]

[tex]{x \to 0}[/tex]

[tex]{x \to 2}[/tex]

of the function shown in the graph.

As you can observe in the graph, when:

[tex]{x \to -3}[/tex] , [tex]y=3[/tex]

[tex]{x \to 0}[/tex] , [tex]y=0[/tex]

[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]