Limit Of A Sequence
As the positive integer n becomes larger and larger, the value n sin(1/n) becomes arbitrarily close to 1. We say that "the limit of the sequence n sin(1/n) equals 1."
In mathematics, a limit of a sequence is a value that the terms of the sequence "get close to eventually". If such a limit exists, the sequence converges.
Limits can be defined in any metric or topological space, but are usually first encountered in the real numbers.
Convergence of sequences is a fundamental notion in mathematical analysis, which has been studied since ancient times.
Read more about Limit Of A Sequence: Definition in Hyperreal Numbers, History
Famous quotes containing the words limit of, limit and/or sequence:
“Can you find out the deep things of God? Can you find out the limit of the Almighty?”
—Bible: Hebrew, Job 11:7.
“Today, the notion of progress in a single line without goal or limit seems perhaps the most parochial notion of a very parochial century.”
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