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 and/or sequence:
“There is no limit to what a man can do so long as he does not care a straw who gets the credit for it.”
—C.E. (Charles Edward)
“It isn’t that you subordinate your ideas to the force of the facts in autobiography but that you construct a sequence of stories to bind up the facts with a persuasive hypothesis that unravels your history’s meaning.”
—Philip Roth (b. 1933)