Limit of a sequence
Value to which tends an infinite sequence / From Wikipedia, the free encyclopedia
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For the general mathematical concept, see Limit (mathematics).
In mathematics, the limit of a sequence is the value that the terms of a sequence "tend to", and is often denoted using the symbol (e.g., ).[1] If such a limit exists, the sequence is called convergent.[2] A sequence that does not converge is said to be divergent.[3] The limit of a sequence is said to be the fundamental notion on which the whole of mathematical analysis ultimately rests.[1]
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Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers.