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)."
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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