Let (xn) be a bounded sequence. Denote yn=sup{xm : m is greater or equal to n}. Prove
(a) (yn) is a decreasing and bounded below.
Thus, by MCT, there exists a lim(yn)=inf(yn). this limit is called limsup(xn).
(b) Is (yn) necessarily subsequence of (xn)? if so, argue why, if not, give...