Let (x) = 1 if x is rational and f (x) = 0 if x is irrational.
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Let ƒ(x) = 1 if x is rational and f (x) = 0 if x is irrational. Prove that lim does not exist for any c. There exist rational and irrational numbers arbitrarily close to any c.
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lim f(x) X→C
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