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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'limit superior'
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a result by Daume
Correction id: 5237
Filed on: 2004-11-04 20:34:57
Status: Rejected on 2004-11-04 20:45:24
Type: Addendum
Correction text:
Is it possible to add a result. That is if x_n is a sequence in R then
lim sup x_n = inf_n sup_{k>n} x_n and
lim inf x_n = sup_n inf_{k>n} x_n.
I feel those are used often and might be good to add, let me know.
thanks
Yann |
Comment from object owner rmilson:
This result is already included in the entry, albeit in the form
lim of a sup rather than inf of a sup
However the sups of the subsequence make for a degreasing sequence,
so there is no difference between the lim and the inf |
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