Let { } be a converging sequence in R. Show that { , ...} has zero content.
I'm not even sure what the term zero content means?
Thanks
Content is a generalization of measure: http://en.wikipedia.org/wiki/Content_(measure_theory)
You must be working with a particular content here, though, since the function that assigns 1 to a subset of R that contains 0, and 0 to every other subset is a content, and under this content any sequence that contains 0 has content 1.
You have to prove that for every there exists a finite family of intervals which depends on such that:
(i)
(ii)
Hint :
As the sequence has a finite limit , for every only a finite numbers of do not belong to
Fernando Revilla