# Physical asymptote

## Homework Statement

For example particle performs a motion in x-y plane. In y there are walls from both side so particle can go in y direction from zero to $$h$$. I need to plot trajectory. If I got trajectory $$y=x^4-x^2$$ then
$$\lim_{x\to \infty}y(x)=\infty[/B] ## Homework Equations ## The Attempt at a Solution If I got trajectory [tex]y=x^4-x^2$$ then
$$\lim_{x\to \infty}y(x)=\infty$$, but because of the condition I may say that $$\lim_{x\to \infty}y(x)=h$$. Maybe then $$y=h$$ is some natural horisontal asymptote?[/B]