The Asymptotes(f(x), x) calling sequence returns all the vertical, horizontal, and diagonal asymptotes of the expression f(x) as a list of equations of the form , , and , respectively.

The Asymptotes(f(x), x = a..b) calling sequence returns all the vertical asymptotes in the interval [a, b], and horizontal and diagonal asymptotes of the expression f(x) as a list of equations of the form , , and , respectively.

The default name of the dependent variable is y unless y is specified as the independent variable.

If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.

If the expression has an infinite number of vertical asymptotes, a warning message and sample vertical asymptotes are returned.

The opts argument can contain the following equation that sets computation options.

numeric = true or false

Whether to use numeric methods (using floating-point computations) to find the asymptotes of the expression. If this option is set to true, the points a and b must be finite and are set to  and  if they are not provided. By default, the value is false.