?If the function f is defined by\(f(x)= \begin{cases}0 & \text { if } x \text { is

Chapter 2, Problem 39

(choose chapter or problem)

If the function f is defined by

\(f(x)= \begin{cases}0 & \text { if } x \text { is rational } \\ 1 & \text { if } x \text { is irrational }\end{cases}\)

prove that \(\lim _{x \rightarrow 0} f(x)\) does not exist.

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