Question

when we use polar coordinates when we are evaluating limits for calc 3

Answer 1

pretty much only use it if you somehow will result in a limit that becomes easier to compute. Lots of times you can abuse y=mx substitution when you have a limit where both x and y approach 0. Of course this substitution can be manipulated if the limit doesnt have x and y approaching 0 via \(y-y_0=m(x-x_0)\) allowing \(y_0,x_0 \) to be the approaching limits.

Answer 2

If you have an x^2+y^2 term in the limit might be useful to switch to polar.

Answer 3

ty