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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- June 28th 2005, 04:09 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? - June 29th 2005, 07:19 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 , then f is continuous at x=c**only**. - June 29th 2005, 10:56 AMEne DeneQuote:

Originally Posted by**hpe**

Anyway, I'm satisfied now :).