Hi Analyse the continuity of the function z = (xy-5)/(x^2+y^2-4) I checked that z approaches infinity when x^2+y^2=4 so, this circle represents the discontinuity points. Is this right? Thanks
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Yes, that is correct. This function is continuous everywhere except on the circle $\displaystyle x^2+ y^2= 4$.
You need to check that there are no points on the circle where xy = 5
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