Answer
A vertical asymptote of a function $f(x)$ is
a vertical line $x=a$,
where $a$ is a value in the vicinity of which,
the graph either falls or rises without bound on one or both sides of $x=a.$.
In other words, $a$ is such that one or both of the one-sided limits at $a,$
$\displaystyle \lim_{x\rightarrow a^{-}}f(x) $ or $\displaystyle \lim_{x\rightarrow a^{+}}f(x)$
is one of $\quad -\infty$ ,$\infty.$
Work Step by Step
Explanation given above.
