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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