### Overview

Derivatives are defined in terms of limits of functions. Where those functions are not continuous, limits (and derivatives) may be undefined. This session discusses the different ways functions may be discontinuous and how differentiability is related to continuity.

### Lecture Video and Notes

#### Video Excerpts

Clip 2: Removable Discontinuities

Clip 3: Infinite Discontinuities

Clip 4: Other (Ugly) Discontinuities

Clip 5: Differentiable Implies Continuous

### Worked Example

Limits and Discontinuity