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 and/or limit:
“... there are two types of happiness and I have chosen that of the murderers. For I am happy. There was a time when I thought I had reached the limit of distress. Beyond that limit, there is a sterile and magnificent happiness.”
—Albert Camus (1913–1960)
“... there are two types of happiness and I have chosen that of the murderers. For I am happy. There was a time when I thought I had reached the limit of distress. Beyond that limit, there is a sterile and magnificent happiness.”
—Albert Camus (1913–1960)