If S is a finite series, then the Degree(S, x) calling sequence returns the degree of S with respect to the variable x. If S is an infinite series, then the result is infinity.

The Degree(S, [x1,.., xn]) calling sequence returns [Degree(S, x1),..., Degree(S, xn)].

The Degree(S) calling sequence returns the maximum degree of S with respect to its variables. This allows the user to test whether a series is finite.