Continuous function
function such that the preimage of an open set is open
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 -
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
