Continuous function

English: A functin from R to R is continuous iff, informally, its value changes only slightly when its input changes slightly.

Examples

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  A continuous function
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  A function discontinuous at one point, yet right-continuous there

Counterexamples (discontinuous functions)

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  A function discontinuous at one point, yet right-continuous there
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  A function discontinuous at one point
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  A function discontinuous at several points