What's Here 1. Warming Up The Definition of Continuity Discontinuities Removable Discontinuites Jump Discontinuities Other Essential Discontinuities 2. Piecewise functions Compositions 3. An Exponential Limit Limit Laws and Continuity 4. Pictures, examples, counterexamples, and definitions help understand concepts.
Computational techniques require examples and practice.
D etermine the continuity of a function at a point and on its domain. Recognize valid applications of the Intermediate Value and Extreme Value Theorems. The Field Guide to Functions.