f(x) is a function defined from Set of rational numbers Q to itself as

f(x)=x,

Is this function continuous at all rational numbers?

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- Jun 28th 2005, 03:09 AMvmsContinuity of this function
f(x) is a function defined from Set of rational numbers Q to itself as

f(x)=x,

Is this function continuous at all rational numbers? - Jun 29th 2005, 06:19 AMhpeQuote:

Originally Posted by**vms**

On the other hand, in response to Ene Dene's post, if f(x) is defined as constant c for all real $\displaystyle x \notin \mathbB Q$, then f is continuous at x=c**only**. - Jun 29th 2005, 09:56 AMEne DeneQuote:

Originally Posted by**hpe**

Anyway, I'm satisfied now :).