Re: Limits of multi-var. functions

• To: mathgroup at smc.vnet.net
• Subject: [mg19834] Re: Limits of multi-var. functions
• From: Paul Abbott <paul at physics.uwa.edu.au>
• Date: Sun, 19 Sep 1999 01:20:22 -0400
• Organization: University of Western Australia
• References: <7rsh34\$3gf@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Phil Mendelsohn wrote:

> 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}]

The syntax you want is

Limit[Limit[x^2*y^2 + 3*y - 2*x*y^5, x -> 2], y -> 3]

or

Limit[Limit[x^2*y^2 + 3*y - 2*x*y^5, y -> 3], x -> 2]

both of which give you the same result.

Cheers,
Paul

--
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Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
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Nedlands WA  6907                     mailto:paul at physics.uwa.edu.au
AUSTRALIA                            http://physics.uwa.edu.au/~paul

God IS a weakly left-handed dice player
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```

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