A convergent subsequence of (xn) is a sequence (xnk) with strictly increasing indices nk that converges to a limit.
Ancestors (5)
Incoming links (27)
- Bolzano-Weierstrass theorem
- Brouwer fixed-point theorem
- Cauchy sequence
- Cauchy subsequence
- Compact space
- Infinite-dimensional bounded sequences can lack convergent subsequences
- Limit inferior and limit superior
- Minimizing sequence
- Parameter continuity of variational regularization
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- Peano existence theorem
- Subsequence selection as regular matrix summability
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