In mathematics, a limit is a fundamental concept that describes the value that a function approaches as the input approaches a certain point. Limits are essential in calculus and analysis, serving as the foundation for defining derivatives and integrals. ### Formal Definition The formal definition of a limit uses the idea of approaching a certain point.
The reason why the epsilon delta definition is so venerated is that it fits directly into well known methods of the formalization of mathematics, making the notion completely precise.
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