# Thread: Urgent! Multivariable Limit Problem!

1. ## Urgent! Multivariable Limit Problem!

Can someone please help me find this limit? I have a test tomorrow.

lim as (x,y) approaches (0,0) of (x+y)/(x-xy+y)

Thanks for your help!

2. Originally Posted by 1.2.3.pi.4
Can someone please help me find this limit? I have a test tomorrow.

lim as (x,y) approaches (0,0) of (x+y)/(x-xy+y)

Thanks for your help!
Does the limit exist? If so, then it's value is the same regardless of how (0, 0) is approached. eg. Approach along the line y = x ....

3. However, all paths that I have a value of 1. How can I prove that the lim is in fact 1? Is there any inequality that i can use to solve this limit for the squeeze theorem?

4. Originally Posted by 1.2.3.pi.4
However, all paths that I have a value of 1. How can I prove that the lim is in fact 1? Is there any inequality that i can use to solve this limit for the squeeze theorem?
You can use polar coordinates to show that the limit exists and is equal to 1 (the limit as r --> 0 is independent of theta).