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) >