If E is a non empty set and (B_n)_{n \geq 1} are elements in the set 2^E.
I then need help showing the following:
lim_n\, sup\, B_n\, =\, lim_n\, inf\, B_n\, =\, \bigcup_{n\, =\, 1} ^{\infty}\, B_n
if and only if B_n\, \subseteq\, B_{n+1}, for all n\, \geq\, 1,
Also I...