Liimits

In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.[1] Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. In formulas, a limit is usually written as {\displaystyle \lim _{n\to c}f(n)=L} \lim _{n\to c}f(n)=L and is read as "the limit of f of n as n approaches c equals L". The fact that a function f(n) approaches the limit L as n approaches c is sometimes denoted by a right arrow (→), as in {\displaystyle f(n)\to L\ .} f(n)\to L\ .