# Limits of functions of two variables

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.

Limits of functions of two variables

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.

add a comment

1

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
```

Asked: **
2013-12-18 16:13:21 -0500
**

Seen: **801 times**

Last updated: **Dec 23 '13**

Condition of type: SIMPLE-CONDITION

Sage doesn't show limit of ratio of sums

Similar limits give very different behavior

sage support fort finding the limit piecewise function?

SAT Math Level 2 Subject Test Sample Question #19 [closed]

Conflicting Sage vs Wolfram evaluation of a limit?

Is this a bug or what am I missing, simple limit computation

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.