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Limit superior
ID: limit-superior
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Limit superior
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Created
2026-09-24
Updated
2026-09-24
The
limit superior
of
a
real
sequence
(
a
n
)
is
lim
sup
n
→
∞
a
n
=
lim
n
→
∞
sup
k
≥
n
a
k
.
(1)
It is the largest
subsequential limit
when the
sequence
is bounded.
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