The one-sided limits around the discontinuity shown in the graph are infinity and zero i.e. option 2.
What is a discontinuous function?
Discontinuous functions are functions that do not have a continuous curve - there is a hole or jump in the graph.
In the shown graph of the function, the function is discontinuous at x=-3
[tex]\lim_{x \to \ -3} g(x)[/tex] tends to infinity so [tex]\lim_{x \to \ -3} g(x)[/tex] does not exist.
[tex]\lim_{x \to \ +3} g(x)=0[/tex]
Hence, the one-sided limits around the discontinuity shown in the graph are infinity and zero i.e. option 2.
To get more about discontinuity visit:
https://brainly.com/question/24637240
