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
