Proof: Monotone Sequence has Monotone Subsequences | Real Analysis
Автор: Wrath of Math
Загружено: 2021-08-20
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Real Analysis course: • Real Analysis
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We prove if a sequence is monotone then all of its subsequences are monotone. In particular, we prove that all subsequences of an increasing sequence are increasing and all subsequences of a decreasing sequence are decreasing. We prove this using the definition of a monotone sequence. #RealAnalysis
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