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Lecture 15: The Continuity of Sine and Cosine and the Many Discontinuities of Dirichlet's Function

MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-re... YouTube Playlist:    • MIT 18.100A Real Analysis, Fall 2020   We wrap up our discussion of cluster points and move towards continuity. We show that sine and cosine are continuous, prove facts about algebraic operations on continuous functions, and define the Dirichlet function. 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.