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.
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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.