# What is the limit of `(x^3+y^3)/(x^2+y^2)`   as (x,y)-->(0,0)?  I'm supposed to use polar coordinates to find the limit.  The assignment says: "If (`r,theta` ) are polar coordinates of the point (x,y) with r > 0 (or equal to 0), note that r --> 0 as (x,y) --> (0,0)."

Luca B. | Certified Educator

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The problem requests to use parametric forms, hence, you need to convert the Cartesian coordinates x,y into polar coordinates, thus, you need to substitute `r*cos t`  for x and `r*sin t`  for y, such that:

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