hey

i've got some troubles with this one:

A sequence of sets is i monotone if $\displaystyle A_n \subseteq A_{n+1} $ respectively $\displaystyle A_n \supseteq A_{n+1} $.

Show that every monotonic sequence of sets converged and calulate the limes.

I know that if it converges the lim sup equals the lim inf but how do i show that?

thx