Asymptote of function I have a function $$ \frac{\ln x}{x} $$ and I wonder, is $y=0$ an asymptote? I mean it is kinda strange that graph is in some place is going through that asymptote. I know it meets the criterium of asymptote, but its kinda strange if you understand me. :D

$y=0$ is a horizontal asymptote of the function since $$ \lim_{x\to\infty}\frac{\ln x}{x}=0. $$ (You'll need to use l'Hospital's rule to evaluate that limit.)

See this article for more information.