Re: counter example in analysis

In article <30264534.1162794035171.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
noobert <dogbert@xxxxxxxxxxx> wrote:
If a function is continuous in each variable separately, then
it is continuous in n variables.

I found an example in a past sci.math post, but it seemed
overly complicated (maybe it needs to be). But is there a
simple counterexample?

f(x,y) = x y/(x^2 + y^2) for (x,y) <> (0,0),
0 at (0,0)

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

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