Subsequences and the Monotone Subsequence Theorem, Real Analysis
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YouTubeDr. Bevin Maultsby
Subsequences and the Monotone Subsequence Theorem, Real Analysis
We define subsequences of sequences of real numbers, discuss how they are typically indexed, and then prove some results. Notably, we show that all subsequences of a convergent sequence converge and converge to the same limit and the Monotone Subsequence Theorem (every sequence has a monotone increasing or decreasing subsequence). #realanalysis ...
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