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limit superior SAM.

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limit superior MAT.

Limes superior m. spol

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In that case every set has a limit superior and a limit inferior. en.wikipedia.org

In other words, any number larger than the limit superior is an eventual upper bound for the sequence. en.wikipedia.org

Here, lim sup denotes limit superior of the sequence of events, and each event is a set of outcomes. en.wikipedia.org

The supremum of the set of all subsequential limits of some sequence is called the limit superior, or limsup. en.wikipedia.org

The limit superior and limit inferior are necessary since the existence of the limit of "f" / "g" has not yet been established. en.wikipedia.org

Therefore, these definitions give the limit inferior and limit superior of any net (and thus any sequence) as well. en.wikipedia.org

Since this limit does not always exist, it is also useful to define the upper and lower densities as the limit superior and limit inferior of the above respectively. en.wikipedia.org

If the terms in the sequence are real numbers, the limit superior and limit inferior always exist, as real numbers or (i.e., on the extended real number line). en.wikipedia.org

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