18.100B | Spring 2025 | Undergraduate, Graduate

Real Analysis

Lecture 6: Cauchy Convergence Theorem

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.

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Spring 2025
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