1. Copyright © Johns and Bartlett ；滄海書局 CHAPTER 13 Partial Derivatives 13.2 Limits and Continuity

2. Copyright © Johns and Bartlett ；滄海書局 2 Terminology

3. Copyright © Johns and Bartlett ；滄海書局 3

4. Copyright © Johns and Bartlett ；滄海書局 4 FIGURE 13.2.1 Various regions in 2-space

5. Copyright © Johns and Bartlett ；滄海書局 5 FIGURE 13.2.1 Various regions in 2-space

6. Copyright © Johns and Bartlett ；滄海書局 6 FIGURE 13.2.1 Various regions in 2-space

7. Copyright © Johns and Bartlett ；滄海書局 7 FIGURE 13.2.1 Various regions in 2-space

8. Copyright © Johns and Bartlett ；滄海書局 8 Limits of Functions of Two Variables

9. Copyright © Johns and Bartlett ；滄海書局 9

10. Copyright © Johns and Bartlett ；滄海書局 10 FIGURE 13.2.2 Three of many ways of approaching the point (a, b)

11. Copyright © Johns and Bartlett ；滄海書局 11 FIGURE 13.2.2 Three of many ways of approaching the point (a, b)

12. Copyright © Johns and Bartlett ；滄海書局 12

13. Copyright © Johns and Bartlett ；滄海書局 13

14. Copyright © Johns and Bartlett ；滄海書局 14

15. Copyright © Johns and Bartlett ；滄海書局 15 FIGURE 13.2.3 Graph of function in Example 2

16. Copyright © Johns and Bartlett ；滄海書局 16

17. Copyright © Johns and Bartlett ；滄海書局 17 Properties of Limits

18. Copyright © Johns and Bartlett ；滄海書局 18

19. Copyright © Johns and Bartlett ；滄海書局 19

20. Copyright © Johns and Bartlett ；滄海書局 20 Continuity

21. Copyright © Johns and Bartlett ；滄海書局 21 FIGURE 13.2.4 Function has an infinite discontinuity at (0,0)

22. Copyright © Johns and Bartlett ；滄海書局 22

23. Copyright © Johns and Bartlett ；滄海書局 23

24. Copyright © Johns and Bartlett ；滄海書局 24 FIGURE 13.2.5 Graph of function in Example 7

25. Copyright © Johns and Bartlett ；滄海書局 25 FIGURE 13.2.5 Graph of function in Example 7

26. Copyright © Johns and Bartlett ；滄海書局 26 Polynomial and Rational Funtions FIGURE 13.2.6 Three discontinuous functions

27. Copyright © Johns and Bartlett ；滄海書局 27 FIGURE 13.2.6 Three discontinuous functions

28. Copyright © Johns and Bartlett ；滄海書局 28 FIGURE 13.2.6 Three discontinuous functions

29. Copyright © Johns and Bartlett ；滄海書局 29 Functions of Three or More Variables

30. Copyright © Johns and Bartlett ；滄海書局 30 Formal Definition of a Limit

31. Copyright © Johns and Bartlett ；滄海書局 31

32. Copyright © Johns and Bartlett ；滄海書局 32 FIGURE 13.2.7 When (x, y) ≠ (a, b) is in the open disk, f(x, y) is in the interval (L – ε, L + ε)

33. Copyright © Johns and Bartlett ；滄海書局 33

34. Copyright © Johns and Bartlett ；滄海書局 34