compute the limit of a rational function at a pole
a multivariate rational function
a list of assignments for the variables of f
The command RationalFunctionLimit(f,p) returns either undefined if the rational function f does not admit a finite limit at the point given by p, or the limit of f at p otherwise.
If p is a pole of f, that is, if p cancels the denominator of f, then it is assumed that p is an isolated pole of f, that is, f has no poles other than p in a neighborhood of p.
This command is part of the RegularChains[AlgebraicGeometryTools] package, so it can be used in the form RationalFunctionLimit(..) only after executing the command with(RegularChains[AlgebraicGeometryTools]). However, it can always be accessed through the long form of the command by using RegularChains[AlgebraicGeometryTools][RationalFunctionLimit](..).
Parisa Alvandi, Changbo Chen, Marc Moreno Maza "Computing the Limit Points of the Quasi-component of a Regular Chain in Dimension One." Computer Algebra in Scientific Computing (CASC), Lecture Notes in Computer Science - 8136, (2013): 30-45.
Parisa Alvandi, Masoud Ataei, Mahsa Kazemi, Marc Moreno Maza "On the Extended Hensel Construction and its application to the computation of real limit points." J. Symb. Comput. 98: 120-162 (2020)
The RegularChains[AlgebraicGeometryTools][RationalFunctionLimit] command was introduced in Maple 2020.
For more information on Maple 2020 changes, see Updates in Maple 2020.
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