Question

Finding the asymptotes of a rational function: Constant over linear

Answer 1

The vertical asymptote of f(x) is x=2, to compte the horizontal asymptotes we notice that:

`\begin{gathered} \lim _(x\rightarrow\infty)f(x)=0, \\ \lim _(x\rightarrow-\infty)f(x)=0. \end{gathered}`

Therefore, f(x) has a horizontal asymptote at y=0.

Answer: