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Limits in calculus are used for two different, and important, areas. First, the derivative: the slope of a curve in a graph (practical applications include determining the instantaneous velocity) is defined as a limit. Second, the integral: the area under a curve in a graph is also defined as a limit.

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Limits were developed in mathematics to describe the behavior of functions as they approach specific values or points. They allow us to analyze and understand the behavior of functions at points where they may not be defined or may have discontinuities. Limits are fundamental in calculus for defining concepts like derivatives and integrals.

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10mo ago
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Q: Why did limit invented?
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