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.

Printable View

- November 11th 2008, 10:34 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. - November 11th 2008, 11:57 AMThePerfectHacker
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.