Real Analysis anybody?

Question

anonymous · Answer

$$f(x) =$$ { x, if x is raitonal 
{ 1/x, if x is irrational. 

Determine where the fuctions are continuous

anonymous · Answer

Hey @Concentrationalizing  hope all is well

anonymous · Answer

Hello :) Hmm....We haven't even touched the idea of continuity in our analysis course. Couldnt tell ya how the "analysis" way of tackling this would be. We're all into cauchy sequences and cauchy criterion for series and such.

anonymous · Answer

Yea we just finished those about a week or so ago, and we came into continuity, and I missed a couple days so this is making it more difficult for me.

anonymous · Answer

not continuous.

anonymous · Answer

lim x-> 0+ f(x)=0, when x is rational but lim x-> 0+f(x)=infinity when x is irrational. hence lim x->0 dosnot exist. consequently it is not continuous at x=0 @angmarti87

anonymous · Answer

Thank you