limit/multi
multidimensional limits
Calling Sequence
Parameters
Description
Examples
References
Compatibility
limit(f, point)
limit(f, point, dir)
f
-
algebraic expression
point
set or list of equations of the form
dir
(optional) direction
The limit(f, point) calling sequence attempts to compute the limiting value of f in a multidimensional space at point.
An equation of the form in the limiting point is ignored.
If the limit depends on the direction of approach, either a range or undefined is returned (see limit,return).
The optional direction dir is applied to all coordinates in point, and consequently each coordinate is approached from the same direction; from the left or right, bidirectional (real), or complex.
C. Cadavid, S. Molina, J.D. Velez, Limits of quotients of bivariate real analytic functions, Journal of Symbolic Computation, Volume 50, March 2013, 197-207, doi:10.1016/j.jsc.2012.07.004
Gary R. Lawlor, l'Hôpital's Rule for Multivariable Functions, The American Mathematical Monthly, 127:8 (2020), 717-725, doi:10.1080/00029890.2020.1793635
The limit/multi command was updated in Maple 2021.
See Also
limit
limit/dir
limit/return
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