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 Sep 16 revised limit superior and limit inferior of the given sequence of sets edited body; added 3 characters in body Sep 16 comment limit superior and limit inferior of the given sequence of sets @alext87 you are right. edited. Sep 16 comment limit superior and limit inferior of the given sequence of sets @Jens the interval is partitioned into 2*n intervals. Sep 16 comment limit superior and limit inferior of the given sequence of sets P.S. how do I insert multi line latex block in question? Sep 16 revised limit superior and limit inferior of the given sequence of sets added 345 characters in body Sep 16 asked limit superior and limit inferior of the given sequence of sets Sep 16 comment limit inferior and superior for sets vs real numbers Thanks Arturo for the very elaborate explanation. I think I understand the concepts now. Sep 16 comment limit inferior and superior for sets vs real numbers For $B_n={1/n}$, shouldn't the $lim~inf~B_n$ and $lim~sup~B_n$ be $\{ 0 \}$ because $lim sup(1/n)=0$ and $lim inf(1/n)=0$ ? Sep 16 comment limit inferior and superior for sets vs real numbers never mind got it. I realize that A_n represents a sequence of sets. Sep 16 comment limit inferior and superior for sets vs real numbers very nice examples. I didn't understand the 2) example. How did the lim inf get inside the indicator function? Shouldn't limsup and liminf of an indicator function always be 1 and 0, respectively? Sep 16 comment limit inferior and superior for sets vs real numbers this example helps make things much clearer. thanks! Sep 16 accepted limit inferior and superior for sets vs real numbers Sep 16 revised limit inferior and superior for sets vs real numbers added 35 characters in body Sep 16 revised limit inferior and superior for sets vs real numbers added 12 characters in body; deleted 8 characters in body; added 16 characters in body; added 22 characters in body Sep 16 comment limit inferior and superior for sets vs real numbers edited to add curly braces correctly. Sep 15 awarded Editor Sep 15 comment limit inferior and superior for sets vs real numbers I have added some examples. Can you please answer that will help clarify. Sep 15 revised limit inferior and superior for sets vs real numbers added 178 characters in body Sep 15 asked limit inferior and superior for sets vs real numbers Sep 13 awarded Commentator