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→Interesting examples: another amusing example: a function which is continuous in one point only
is nowhere continuous.
is nowhere continuous.
Similarly, the function <math>f(x) = x \cdot \chi_{\mathbb{Q}}(x)</math> is continuous only in 0, and discontinuous everywhere else.
[[category: mathematics]]
[[category: mathematics]]
[[category: Topology]]
[[category: Topology]]