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Consider f(x,y)=(xy)/(x^2+y^2) if (x,y) ...

Consider `f(x,y)=(xy)/(x^2+y^2)` if `(x,y) ne (0,0) and f (0,0) = 0` . Show that f is not continuous at (0,0) and continuous at all other points of `R^2.`

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The correct Answer is:
f cannot be continuous at (0,0)
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FULL MARKS-DIFFERENTIALS AND PARTIAL DERIVATIVES -Additional Questions Solved
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  21. If x= r cos theta, y = r sin theta, then (del r)/(del x)=

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