The vertical asymptote of f(x) is x=2, to compte the horizontal asymptotes we notice that:
[tex]\begin{gathered} \lim _{x\rightarrow\infty}f(x)=0, \\ \lim _{x\rightarrow-\infty}f(x)=0. \end{gathered}[/tex]
Therefore, f(x) has a horizontal asymptote at y=0.
Answer:
