Re: Calculating limits for functions of several variables
- To: mathgroup at smc.vnet.net
- Subject: [mg41294] Re: Calculating limits for functions of several variables
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Wed, 14 May 2003 08:07:03 -0400 (EDT)
- Organization: Universitaet Leipzig
- References: <b9q9oo$hpn$1@smc.vnet.net>
- Reply-to: kuska at informatik.uni-leipzig.de
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
Limit[Limit[(x^2 + y^2 - (x^3)(y^3))/(x^2 + y^2), x -> 0], y -> 0]
Limit[(x^2 + y^2 - (x^3)(y^3))/(x^2 + y^2) /. { x -> r*Cos[phi],
y -> r*Sin[phi]} // Simplify, r -> 0]
Regards
Jens
David wrote:
>
> How can I get mathematica to find the limit of the function:
>
> f(x,y) = (x^2 + y^2 - (x^3)(y^3)) / (x^2 + y^2)