![]() The real number L is the limit of the sequence: In the case of a sequence of real numbers, like a1, a2, a3,…, an. For all ε > 0 we can find δ > 0 where absolute value of f(x) – L is less than E when absolute value of x - x0 < δ. Limits are stated for a function, any discrete sequence, and even real-valued function or complex functions.įor a function f(x), the value the function takes as the variable approaches a specific number say n then x → n is known as the limit. The theory of Limits lays a foundation for Calculus it used to define Continuity, Integrals, and Derivatives. In other words, it depicts how any function acts near a point and not at that given point. It helps in analyzing the value of a function or sequence approaches as the input or index approaches a particular point. ![]() Limits is one of the essential concepts of calculus. The branch of Calculus emphasizes the concepts of Limits, Functions, Integrals, Infinite series, and Derivatives. Calculus is known as one of the critical fields of study in Mathematics.
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