How can the function(adsbygoogle = window.adsbygoogle || []).push({});

f: ℝ² → ℝ : (x,y) |--> [tex]{{x^3-y^3}\over{x-y}}[/tex] if x ≠ y

be defined on the line y=x so that we get a continuous function?

Is this correct?: If x=y --> f=0

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# Continuous extension(2)

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