Find the limit of f as (x, y) → (0, 0 ) or show that the limit does not exist.
Consider converting the function to polar coordinates to make finding the limit easier.
f (x, y) = (x³ - xy²)/ (x² + y²)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answerim :

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step-by-step explanation:

im not sure but my dad knows

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .