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{wiki}

The limit superior of a real sequence $(a_n)$ is
$$
\limsup_{n\to\infty}a_n=\lim_{n\to\infty}\sup_{k\geq n}a_k.
$$
It is the largest subsequential limit when the sequence is bounded.


Limit superior

Interior-value criterion for an attained maximum

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Limit superior ( $lim sup$ )

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Limit superior (limsup)

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Limit superior ( $lim sup$ )

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