1. Limits and Continuity
An introduction to Limits and how we will be using them

2. Limit L a

3. Examples of Limits
Given
Find

4. The Definition of Limita

5. One-Sided Limits
The right-hand limit of f (x), as x approaches a, equals L
written:
when we can make f (x) arbitrarily close to L by taking x to be sufficiently close to the right of a. L a

6. Examples
Find the limits:

7. We can use this theorem to show a limit does not exist
A Theorem
We can use this theorem to show a limit does not exist
For the function

8. HW 2
Problems 2.3, 2.5, 2.7, 2.8, 2.13, 2.18