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.
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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
Last edited by topsquark; February 26th 2006 at 03:59 PM.