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Limits of functions of two variables

asked 2013-12-18 23:13:21 +0200

sokoban gravatar image

How to find the limit of a function with two variables at a point (x,y)?

The command limit( f(x), x=a) only works for one-variable function.

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answered 2013-12-23 09:53:52 +0200

ppurka gravatar image

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
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Asked: 2013-12-18 23:13:21 +0200

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Last updated: Dec 23 '13