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If your function is "nice enough", you can try to take the limit one at a time. In general, the limit may not exist.

sage: f(x,y) = x^2 + y^2     
sage: f.limit(x=0).limit(y=0)
(x, y) |--> 0
sage: f.limit(x=0).limit(y=2)
(x, y) |--> 4