I need to show if the following is true or false.

If the function http://alt1.mathlinks.ro/latexrender...7f95476ecc.gif is continuous in every irrational number x then f is continuous at every number.

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- Nov 11th 2008, 11:34 AMAlexHallAnalysis problem
I need to show if the following is true or false.

If the function http://alt1.mathlinks.ro/latexrender...7f95476ecc.gif is continuous in every irrational number x then f is continuous at every number. - Nov 11th 2008, 12:57 PMThePerfectHacker
Let and write where with . Then define and if . It turns out that is continous at all the irrational points and discontinous at all the rational points.