Every Bounded Sequence in R has a Convergent Subsequence (PROOF)

Описание к видео Every Bounded Sequence in R has a Convergent Subsequence (PROOF)

A quick proof of why every bounded sequence in R has a convergent subsequence. This is a very useful concept in many proofs, and relies on the Monotone Convergence Theorem, (I call it a lemma), which basically says that all Bounded Monotone sequences in R must converge.

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