Thread: [SOLVED] Limits with polar corrdinates

How would you use polar coordinates to find the limit as (x,y) -> (0,0) of (x^2*y^2)/(x^2+y^2)?

Thanks.

Originally Posted by rsmith88

How would you use polar coordinates to find the limit as (x,y) -> (0,0) of (x^2*y^2)/(x^2+y^2)?

Thanks.

Start by converting your expression into polar coordinates:



So .

r goes to 0 as (x,y) goes to (0,0) so the limit should be obvious in this form.

-Dan