1. ## Continuity question

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

2. Yes, that is correct. This function is continuous everywhere except on the circle $x^2+ y^2= 4$.

3. You need to check that there are no points on the circle where xy = 5