Limit of a sequence: Difference between revisions
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== See also == | == See also == | ||
*[[Limit of a function]] | *[[Limit of a function]] | ||
*[[Limit (mathematics)]] | *[[Limit (mathematics)]][[Category:Suggestion Bot Tag]] |
Latest revision as of 06:00, 12 September 2024
The mathematical concept of limit of a sequence provides a rigorous definition of the idea of a sequence converging towards a point called the limit.
Suppose x1, x2, ... is a sequence of real numbers. We say that the real number L is the limit of this sequence and we write
if and only if for every real number ε > 0 there exists a natural number n0 such that for all n > n0 we have |xn − L| < ε. The number n0 will in general depend on ε.