1. Chapter Two Limits and Their Properties

2. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 2 The Tangent Line Problem

3. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 3 The Area Problem

4. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 4 A Strategy for Finding Limits (simplified) Use direct substitution (easiest method). If direct substitution does not work try finding an equal function that can be evaluated by direct substitution. This is usually accomplished by some algebraic technique such as factoring. Use a graph or table to reinforce your conclusion.

5. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 5 Definition of Limit

6. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 6 The Squeeze Theorem

7. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 7 Continuity at a Point and on an Open Interval

8. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 8 Continuity at a Point and on an Open Interval (cont’d)

9. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 9 Discontinuities

10. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 10 Definition of Continuity on a Closed Interval

11. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 11 The Intermediate Value Theorem

12. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 12 Definition of Infinite Limits

13. Copyright © Houghton Mifflin Company. All rights reserved. 2 | 13 Properties of Infinite Limits