A horizontal asymptote is a horizontal line that is not part of a graph of a function but guides it for x-values. “far” to the right and/or “far” to the left. The graph may cross it but eventually, for large enough or small.
To calculate the horizontal asymptote, we calculate the end behavior of the function on both ends.
[tex]\begin{gathered} \lim_{x\to\infty}\frac{3}{x+2}=0 \\ \lim_{x\to-\infty}\frac{3}{x+2}=0 \end{gathered}[/tex]
The horizontal asymptote is
[tex]y=0[/tex]
