I explained the question in the picture.

By the way, The question ask to find all continuous points. What is that mean to be continous at a point?

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- Dec 21st 2013, 03:12 AMdavidciprutContionous points
I explained the question in the picture.

By the way, The question ask to find all continuous points. What is that mean to be continous at a point? - Dec 21st 2013, 03:42 AMromsekRe: Contionous points
continuity of f at a point x means

$\displaystyle f(x)=\displaystyle{\lim_{t\to x}}f(t)$

other than using the word intensity where I think you mean density this looks correct.

There is an irrational number in any delta neighborhood of every rational no matter how small and vice versa.

So D has no limit at any of the rational or irrational numbers and thus is continuous nowhere.