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HomeMIT 18.100B Real Analysis, Spring 2025Lecture 6: Cauchy Convergence Theorem
MIT 18.100B Real Analysis, Spring 2025
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Lecture 6: Cauchy Convergence Theorem
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Lecture 7: Bolzano–Weierstrass Theorem; Cauchy Sequences; Series
In this lecture we show that there is way to determine whether or not a sequence is convergent even if we are unable to write down explicitly the limit. This is the notion of a sequence being a Cauchy sequence and has wide-ranging applications. We will also discuss some of these applications.