The model illustrates the asymptote for a graph of the function f(x) = x/(x2+1). The graph of x2+1 has no asymptote, the graph of 1/(x2+1) has a horizontal asymptote coincided with the abscissa axis, the f(x) = x/(x2+1) has the same asymptote. If x tends to infinity then f(x) tends to zero as 1/x.
The model is a movie. To navigate through the movie use Play, Pause, Stop, Previous step and Next step buttons.