upper limit is defined as:(adsbygoogle = window.adsbygoogle || []).push({});

lim sup(Sn) = sup E , where {Sn} is a sequence of real numbers and E is the set of all subsequential limits of {Sn}.

Then if sup E = +∞, why is there a subsequence of {Sn} whose limit is +∞?

Also, if sup E= -∞ is there a subsequence of {Sn} whose limit is -∞?

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# I have some questions about upper limit

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