Answer:
False
Step-by-step explanation:
Keep in mind both the right and left-side limits of a function have to be equal to each other in order for the limit of the function to exist:
Right side limit: [tex]\lim_{x \to 2^{+}} \frac{1}{3x-6}=\infty[/tex]
Left-side limit: [tex]\lim_{x \to 2^{-}} \frac{1}{3x-6}=-\infty[/tex]
Because both side limits do not equal [tex]\infty[/tex], then the limit does not exist, which means that the statement is false.
You can also see this visually on a graph if you'd wish to plug in the function
