In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the lim {\displaystyle \lim }...

mathematics, the limit inferior and limit superior of a sequence can be thought of as limiting (that is, eventual and extreme) bounds on the sequence. They can...

mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. Limits of functions are...

is the limit of the sequence (3, 3.1, 3.14, 3.141, 3.1415, ...), which is increasing. A related sequence is the sequence of decimal digits of π, that...

definition of a cluster or accumulation point of a sequence generalizes to nets and filters. The similarly named notion of a limit point of a sequence (respectively...

topology and related branches, a net or Moore–Smith sequence is a function whose domain is a directed set. The codomain of this function is usually some...

mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input...

of the sequence are getting closer and closer together in a way that suggests that the sequence ought to have a limit in X. Nonetheless, such a limit...

mathematics, the limit of a sequence of sets A 1 , A 2 , … {\displaystyle A_{1},A_{2},\ldots } (subsets of a common set X {\displaystyle X} ) is a set whose...

as a continued fraction. Using calculus, e may also be represented as an infinite series, infinite product, or other types of limit of a sequence. Euler...