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# Continuity #3

Find a function that is continuous at exactly one point only, but is defined everywhere.

Note by Hobart Pao
1 year, 4 months ago

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The function $$f(x)$$ where $$f(x) = x$$ for rational $$x$$ and $$f(x) = 0$$ for irrational $$x$$ satisfies the given conditions. · 1 year, 4 months ago