I am trying to understand continuous and discontinuous. These are two assignments I have for a class. I am just looking for some feedback...(adsbygoogle = window.adsbygoogle || []).push({});

Let A= {1/n : n is natural}

Then, f(x)= (x , if x in A)

(0 , if x not in A)

This is discontinuous on A but continuous on A complement?

Let B = { x : 0 [tex]\leq[/tex] x < 1 }

Then, g(x) = (1-x , 0[tex]\leq[/tex]x<1 and x is rational)

(0 , otherwise)

And this is discontinuous on B but continuous on B complement?

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# Homework Help: Continuous and Disc. functions

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