At its core, continuity implies that small changes in the input of a function result in small changes in its output. More ...
A table of values presents a discrete snapshot of a function's behavior. It lists specific x -values and their corresponding f (x) values. While a table cannot definitively prove continuity, it can ...
The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...
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