multidirectional - Maple Help
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limit/multi

multidimensional limits

 

Calling Sequence

Parameters

Description

Examples

References

Compatibility

Calling Sequence

limit(f, point)

limit(f, point, dir)

Parameters

f

-

algebraic expression

point

-

set or list of equations of the form

dir

-

(optional) direction

Description

• 

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.

Examples

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

References

  

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

Compatibility

• 

The limit/multi command was updated in Maple 2021.

See Also

limit

limit/dir

limit/return

 


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