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

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

[patrickhunter]

Somehow took me this long to realize he is left handed.

[habouzhaboux]

Why did we include the x=c in the continuity part ( |x-c|<delta), while the definition of limits does not include x=c (0<|x-c|<delta)?