Every bounded, monotone sequence is convergent.[2]
increasing하면서 bounded above이면 수렴.
decreasing하면서 bounded below이면 수렴. (강우석)
decreasing하면서 bounded below이면 수렴. (강우석)
단조증가수열이 위로 유계이면 수렴.
단조감소수열이 아래로 유계이면 수렴.
단조감소수열이 아래로 유계이면 수렴.
https://everything2.com/title/monotone sequence theorem
https://everything2.com/title/monotone convergence theorem
https://everything2.com/title/monotone convergence theorem
Monotone_convergence_theoremhttps://mathworld.wolfram.com/MonotoneConvergenceTheorem.html (short)
https://proofwiki.org/wiki/Monotone_Convergence_Theorem
Advanced: // 측도론 measure_theory 측도,measure 까지 확장
단조_수렴_정리
![[https]](/123/imgs/https.png)
https://proofwiki.org/wiki/Monotone_Convergence_Theorem_(Measure_Theory)
https://planetmath.org/monotoneconvergencetheorem
단조_수렴_정리https://proofwiki.org/wiki/Monotone_Convergence_Theorem_(Measure_Theory)https://planetmath.org/monotoneconvergencetheorem
Compare, Related: 지배수렴정리,dominated_convergence_theorem(writing)
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- [1] http://www.kocw.net/home/cview.do?cid=ef1091e35015db7f 부산대 미적 4-4 8:27
- [2] http://www.kocw.net/home/cview.do?cid=160b162f33f362fe 최성우 12. 35m