is defined by if is rational, and is irrational.
I need to show f does not have a limit at c if c is not equal to 0. I've shown this true if c is rational, but I'm having a problem with if it's irrational, any help?
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Suppose that then due to density .
Thus in any epsilon neighborhood of c there is a rational and an irrational number.
Thus on that neighborhood of a nonzero c the function is both c & 0.
Last edited by Plato; Oct 2nd 2008 at 03:59 PM.
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