what is a limit
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 in general) and are used to define continuity, derivatives, and integrals.ne can show that a convergent sequence has only one limit. The limit of a sequence and the limit of a function are closely related. On one hand, the limit as n goes to infinity of a sequence a(n) is simply the limit at infinity of a function defined on the natural numbers n.