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## Homework Statement

Let f(x,y) = { 2 if [tex]x^{2}[/tex]+[tex]y^{2}[/tex] < 1 , and 0 otherwise

Using the definition of continuity to show that:

(a) f is not continuous at each point ([tex]x_{0}[/tex],[tex]y_{0}[/tex]) such that [tex]x^{2}_{0}[/tex] = [tex]y^{2}_{0}[/tex] = 1

(b) f is continuous at all other points ([tex]x_{0}[/tex],[tex]y_{0}[/tex]) in the plane

## Homework Equations

None.

## The Attempt at a Solution

I know the definition of continuity, but are you supposed to take some epsilon for the case in (a) and (b), and just show the normal definition or is the question asking something I'm not seeing.