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When I deal with sets of reals, i sometimes face with combination of $\lim \sup$ and $\sup$ and something like that.

Especially, $\lim \sup (\sup B_k) = \lim B_k$?

Would you recommend me where can I study this mixed use of supremum,limit,infimum and stuff?

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1 Answer 1

A good place to start would be wikipedia.

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