Limit (Mathematical)

Introduction

In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

-- Wikipedia 2023

Basics

General Form

The limit of a function $f(x)$ as $x$ approaches $a$ is written as

$$\underset{x\to c}{lim}f(x)=L$$

References

Web Links

• Limit (Mathematics) (from Wikipedia, the free encyclopedia)

Note Links

• Calculus
• Derivatives/Differential Calculus
• Integral Calculus