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HomeMIT 18.100A Real Analysis, Fall 2020Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem

Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem

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Lecture 10: The Completeness of the Real Numbers and Basic Properties of Infinite Series

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Description: Does a bounded sequence have a convergent subsequence? We introduce limit inferiors and limit superiors to prove this is the case (known as the Bolzano-Weierstrass theorem).

Speaker: Casey Rodriguez