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Continuity of Functions : Let f(x,y)=xy log(xy) if xy > 0, and define f(x,y) = 0 if xy = 0. Where, if at all, is f discontinuous?

Let f(x,y)=xy log(xy) if xy > 0, and define f(x,y) = 0 if xy = 0. Where, if at all, is f discontinuous?

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Continuity of a function is investigated. The solution is detailed and well presented.

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