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OpenStudy (anonymous):
Define: f: R->R by f(x)=x if x is rational and f(x)=0 is x is irrational. Prove f has a limit at c iff c=0.
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OpenStudy (anonymous):
Hint: To show f(x) does not have a limit when c does not equal zero, look at a sequence of rationals converging to non zero value c and a look a irrational sequence converging to non-zero value c.
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