Lecture 6: Cauchy Convergence Theorem

MIT 18.100B Real Analysis, Spring 2025 Instructor: Tobias Holck Colding View the complete course: https://ocw.mit.edu/courses/18-100b-r... YouTube Playlist:    • MIT 18.100B Real Analysis, Spring 2025   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. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.