Re: Re: Limits of multi-var. functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg19893] Re: [mg19838] Re: Limits of multi-var. functions*From*: me at talmanl1.mscd.edu*Date*: Sun, 19 Sep 1999 18:47:39 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Jens-Peer Kuska <kuska at informatik.uni-leipzig.de> wrote: > Limit[Limit[x^2 y^2 - 2x y^5 + 3y, x -> 2], y -> 3] > > works fine. To which it must be added that this works *only* in cases where one already knows that there is a limit. Compare Limit[Limit[ x y /(x^2 +y^2), x -> 0], y -> 0] Unfortunately, Limit[ x y /(x^2 + y^2), (x, y) -> (0, 0)] does not exist, as is easily seen by transforming to polar coordinates. --Lou Talman