Eritque Arcus Math Notes
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convergent
convergent
Dec 04, 2025
1 min read
Def
lim
𝑛
(
𝑥
𝑛
)
=
𝑥
′
⟺
(
∀
𝜀
>
0
)
(
∃
𝑛
0
)
(
∀
𝑛
≥
𝑛
0
)
|
𝑥
𝑛
−
𝑥
′
|
<
𝜀
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convergence rate
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Cauchy sequence
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sequentially Closed
sequentially compact