Study Guide for Chapter 2: Limits and Continuity.
Chapter 2:
- Section 2.1-2.3 are high school materials. We will
not spend much time in class on this.
Pay attention to examples when the limit does not exist.
- Must know the precise definition of limits (Setion 2.5)
and know how to verify it.
- Why x=c is excluded in the definition of limits?
- How to use Sandwich Theorem.
- Definition of continuity. Examples of functions discontinuous
at a point c.
- Compare the definitions of "lim_{x ->c} f(x) = L"
and "f(x) is continuous at c".
Why x = c is now included in the definition of continuity?
Lecture notes and Homework Assignments