Video details loaded
HomeMIT 18.100B Real Analysis, Spring 2025Lecture 6: Cauchy Convergence Theorem

Lecture 6: Cauchy Convergence Theorem

1:17:08

Up Next

Lecture 7: Bolzano–Weierstrass Theorem; Cauchy Sequences; Series

Continue

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.