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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Originally Posted by binkypoo 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 ? is continuous nowhere, and is continuous only at and .
what about a function f defined on an interval [a,b] which is continuous at 2 points of [a,b]?
Use the exact same function; just restrict the domain.
would this work>?
It needs to be defined on ; that function there is still defined on .
I'm shooting in the dark here, not too sure
Originally Posted by binkypoo I'm shooting in the dark here, not too sure Take any three constants such that . Define a function: will be continuous at and .
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