# F(x) = x if x is rational, 0 if x is irrational.

by Mjjellen
Tags: irrational, rational
 Mentor P: 15,170 Show that no matter what value L you pick as $\lim_{x \to c} f(x)$ means that you can find some $\epsilon>0$ but you cannot find a $\delta>0$ that satisfies the definition of the limit.