The epsilon-delta definition is a formal framework used in calculus to define the concept of limits rigorously. It specifies that a function approaches a limit as the input approaches a certain value if, for every small positive number (epsilon), there exists another small positive number (delta) such that the function's output is within epsilon of the limit whenever the input is within delta of that value. This definition emphasizes the precision required in mathematical analysis and is foundational in the rigorization of calculus and set theory.
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