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limit inferior СУЩ.

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limit inferior МАТЕМ.

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In other words, any number below the limit inferior is an eventual lower bound for the sequence. 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

Similarly, the infimum of such a set is called the limit inferior, or liminf. 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

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

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

The value of this limit inferior is conjectured to be 2 this is the twin prime conjecture but has only been proven to be less than or equal to 246. 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

The total payoff to a player is often taken to be the discounted sum of the stage payoffs or the limit inferior of the averages of the stage payoffs. en.wikipedia.org

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