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MathGroup Archive 1999

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Re: Limits of multi-var. functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg19872] Re: [mg19795] Limits of multi-var. functions
  • From: BobHanlon at aol.com
  • Date: Sun, 19 Sep 1999 01:20:54 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

Phil,

This is not "simultaneously" but it works and extends readily:

Fold[Limit, x^2 y^2 - 2x y^5 + 3y, {x -> 2, y -> 3}]

-927

Bob Hanlon

In a message dated 9/17/1999 11:37:04 AM, mend0070 at tc.umn.edu writes:

>I suspect this is an easy question, but I'm not finding it in Help or a
>couple of other Mathematica books I have around.
>
>If I want to find the limit of a function of several variables, how do
>I
>do it?  In the case of a polynomial function, I tried
>
>Limit[x^2 y^2 - 2x y^5 + 3y, {x->2, y->3}]
>
>for example, but this gave me two results; one case if x approaches 2
>(leaving y unevaluated) and the other case if y approaches 3 (leaving x
>unevaluated.)  I'd like to evaluate for both simultaneously.
>
>Did I miss something -- I do know that convergence of the limit is
>proportionally more complex in several vars, but expected that Mathematica
>would
>do it.  (Running Mathematica v3.0.1, Linux)
>


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