Define f:R $\displaystyle \rightarrow$ R by f(x)=x if x is rational and f(x)=0 if x is irrational. Prove that f has a limit at c iff c=0.

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- Apr 28th 2009, 05:39 PMtrojanlaxx223Real analysis homework help
Define f:R $\displaystyle \rightarrow$ R by f(x)=x if x is rational and f(x)=0 if x is irrational. Prove that f has a limit at c iff c=0.

- Apr 28th 2009, 08:27 PMGammaBeen there, done that.