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Limits of multi-var. functions


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


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