We are asked to determine what happens to the values of [tex]f(x)[/tex] as [tex]x[/tex] approaches [tex]2[/tex] using values of [tex]x[/tex] less than [tex]2 [/tex] AND using values of [tex]x[/tex] greater than [tex]2[/tex] .
Observe from the graph that as [tex]x[/tex] approaches [tex]2[/tex] from the left or the right, the values of [tex]f(x)[/tex] increase without bound.
Therefore, we know the following.
[tex]\text{lim} \ f(x) = +\infty} [/tex]
