# What does the vertical asymptote represent?

If $x = a$ is a vertical asymptote of a function $f \left(x\right)$, then it means that the graph of $f$ displays a "blowing-up" or a "Blowing-down" behavior there, that is, either the left-hand limit or the right-hand limit (or both) must be an infinite limit.
${\lim}_{x \to {a}^{-}} f \left(x\right) = \pm \infty$ or ${\lim}_{x \to {a}^{+}} f \left(x\right) = \pm \infty$