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Spherical Coordinates, Continuous Functions, Polar Coordinates and Limits

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Determine the set of points at which the function is continuous.

27. F(x, y) = sin(xy)/(e^x - y^2)

Use polar coordinates to find the limit. [If (r, theta) are polar coordinates of the point (x, y) with r >= 0, note that r --> 0+ as (x, y) --> (0,0).]

lim (as (x,y) --> (9,0)) of (x^3 + y^3)/(x^2 + y^2)

Use spherical coordinates to find

lim (as (x,y,z) --> (0,0,0) of xyz/(x^2 + y^2 + z^2)

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This solution answers and provides work for the questions based on spherical coordinates, continuous functions, polar coordinates and limits in an attached Word document.

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