1. Chapter 1 Limits and Their Properties

2. Copyright © Houghton Mifflin Company. All rights reserved.21-2 Figure 1.1

3. Copyright © Houghton Mifflin Company. All rights reserved.31-3 Figure 1.3

4. Copyright © Houghton Mifflin Company. All rights reserved.41-4 Figure 1.4

5. Copyright © Houghton Mifflin Company. All rights reserved.51-5 Common Types of Behavior Associated with Nonexistence of a Limit

6. Copyright © Houghton Mifflin Company. All rights reserved.61-6 Definition of Limit

7. Copyright © Houghton Mifflin Company. All rights reserved.71-7 Theorem 1.1 Some Basic Limits

8. Copyright © Houghton Mifflin Company. All rights reserved.81-8 Theorem 1.2 Properties of Limits

9. Copyright © Houghton Mifflin Company. All rights reserved.91-9 Theorem 1.3 Limits of Polynomial and Rational Functions

10. Copyright © Houghton Mifflin Company. All rights reserved.101-10 Theorem 1.4 The Limit of a Function Involving a Radical

11. Copyright © Houghton Mifflin Company. All rights reserved.111-11 Theorem 1.5 The Limit of a Composite Function

12. Copyright © Houghton Mifflin Company. All rights reserved.121-12 Theorem 1.6 Limits of Trigonometric Functions

13. Copyright © Houghton Mifflin Company. All rights reserved.131-13 Theorem 1.7 Functions That Agree at All But One Point

14. Copyright © Houghton Mifflin Company. All rights reserved.141-14 A Strategy for Finding Limits Box

15. Copyright © Houghton Mifflin Company. All rights reserved.151-15 Theorem 1.8 The Squeeze Theorem and Figure 1.21

16. Copyright © Houghton Mifflin Company. All rights reserved.161-16 Theorem 1.9 Two Special Trigonometric Limits

17. Copyright © Houghton Mifflin Company. All rights reserved.171-17 Figure 1.25

18. Copyright © Houghton Mifflin Company. All rights reserved.181-18 Definition of Continuity

19. Copyright © Houghton Mifflin Company. All rights reserved.191-19 Figure 1.26

20. Copyright © Houghton Mifflin Company. All rights reserved.201-20 Figure 1.28

21. Copyright © Houghton Mifflin Company. All rights reserved.211-21 Theorem 1.10 The Existence of a Limit

22. Copyright © Houghton Mifflin Company. All rights reserved.221-22 Definition of Continuity on a Closed Interval and Figure 1.31

23. Copyright © Houghton Mifflin Company. All rights reserved.231-23 Theorem 1.11 Properties of Continuity

24. Copyright © Houghton Mifflin Company. All rights reserved.241-24 Theorem 1.12 Continuity of a Composite Function

25. Copyright © Houghton Mifflin Company. All rights reserved.251-25 Theorem 1.13 Intermediate Value Theorem

26. Copyright © Houghton Mifflin Company. All rights reserved.261-26 Figure 1.35 and Figure 1.36

27. Copyright © Houghton Mifflin Company. All rights reserved.271-27 Definition of Infinite Limits and Figure 1.40

28. Copyright © Houghton Mifflin Company. All rights reserved.281-28 Definition of Vertical Asymptote

29. Copyright © Houghton Mifflin Company. All rights reserved.291-29 Theorem 1.14 Vertical Asymptotes

30. Copyright © Houghton Mifflin Company. All rights reserved.301-30 Theorem 1.15 Properties of Infinite Limits

31. Copyright © Houghton Mifflin Company. All rights reserved.311-31 Definition of Limits at Infinity and Figure 3.34

32. Copyright © Houghton Mifflin Company. All rights reserved.321-32 Definition of a Horizontal Asymptote

33. Copyright © Houghton Mifflin Company. All rights reserved.331-33 Theorem 3.10 Limits at Infinity

34. Copyright © Houghton Mifflin Company. All rights reserved.341-34 Guidelines for Finding Limits at +/- infinity of Rational Functions

35. Copyright © Houghton Mifflin Company. All rights reserved.351-35 Definition of Infinite Limits at Infinity