Ask Your Question

Limits of functions of two variables

asked 2013-12-18 16:13:21 -0600

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.

edit retag flag offensive close merge delete

1 answer

Sort by ยป oldest newest most voted

answered 2013-12-23 02:53:52 -0600

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
edit flag offensive delete link more

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

1 follower


Asked: 2013-12-18 16:13:21 -0600

Seen: 518 times

Last updated: Dec 23 '13