Limits of multi-var. functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg19795] Limits of multi-var. functions*From*: Phil Mendelsohn <mend0070 at tc.umn.edu>*Date*: Fri, 17 Sep 1999 01:36:48 -0400*Organization*: University of Minnesota, Twin Cities Campus*Sender*: owner-wri-mathgroup at wolfram.com

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) Thanks -- Phil Mendelsohn