Question

How do you find vertical asymptotes using limits?

Answer 1

The vertical line `x=a` is a vertical asymptote of $f(x)$ if either
`lim_{x to a^-}f(x)=pm infty` or `lim_{x to a^+}f(x)=pm infty`.

So, we need to find `a`-values such that either the left-hand limit or the right-hand limit is `pm infty`.