Is there a function which is defined on but which is NOT continuous on ANY point of ?

What about a function which is defined on and is continuous at exactly TWO points of ?

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- October 25th 2009, 08:36 PMbinkypooI need some examples
Is there a function which is defined on but which is NOT continuous on ANY point of ?

What about a function which is defined on and is continuous at exactly TWO points of ? - October 25th 2009, 09:00 PMredsoxfan325
- October 25th 2009, 09:26 PMbinkypoo
what about a function f defined on an interval [a,b] which is continuous at 2 points of [a,b]?

- October 25th 2009, 09:32 PMredsoxfan325
Use the exact same function; just restrict the domain.

- October 25th 2009, 09:39 PMbinkypoo

would this work>?

- October 25th 2009, 09:42 PMredsoxfan325
It needs to be defined on ; that function there is still defined on .

- October 25th 2009, 09:55 PMbinkypoo

I'm shooting in the dark here, not too sure

- October 25th 2009, 10:10 PMredsoxfan325