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Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

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Presentation on theme: "Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley."— Presentation transcript:

1 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

2 Chapter 11 Infinite Sequences and Series

3 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 11.1 Sequences

4 Slide 11 - 4 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Slide 11 - 5 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 11 - 6 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Slide 11 - 7 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 11 - 8 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 11 - 9 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 11 - 10 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 11 - 11 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 11 - 12 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 11 - 13 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 11 - 14 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 11 - 15 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 11 - 16 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 11 - 17 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 11 - 18 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Slide 11 - 19 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Slide 11 - 20 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 11.2 Infinite Series

22 Slide 11 - 22 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 Slide 11 - 23 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

24 Slide 11 - 24 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 11 - 25 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 11 - 26 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 11 - 27 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Slide 11 - 28 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 11 - 29 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 11 - 30 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 11 - 31 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 11.3 The Integral Test

33 Slide 11 - 33 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 Slide 11 - 34 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 Slide 11 - 35 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

36 Slide 11 - 36 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 11 - 37 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 11.4 Comparison Tests

39 Slide 11 - 39 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 11 - 40 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 11 - 41 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 Slide 11 - 42 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

43 Slide 11 - 43 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example 2 continued

44 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 11.5 The Ratio and Root Tests

45 Slide 11 - 45 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 11 - 46 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 11 - 47 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Slide 11 - 48 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

49 11.6 Alternating Series, Absolute and Conditional Convergence

50 Slide 11 - 50 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 11 - 51 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 11 - 52 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 11 - 53 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 Slide 11 - 54 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

55 Slide 11 - 55 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 11 - 56 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 11 - 57 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 11 - 58 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 11 - 59 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 11 - 60 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 11.7 Power Series

62 Slide 11 - 62 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Slide 11 - 63 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 11 - 64 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Slide 11 - 65 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 Slide 11 - 66 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Continued on next slide

67 Slide 11 - 67 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 11 - 68 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 11 - 69 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Slide 11 - 70 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 Slide 11 - 71 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

72 Slide 11 - 72 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 11 - 73 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 11 - 74 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 Slide 11 - 75 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Slide 11 - 76 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 11 - 77 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 11.8 Taylor and Maclaurin Series

79 Slide 11 - 79 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 11 - 80 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Slide 11 - 81 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 Slide 11 - 82 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 Slide 11 - 83 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

84 Slide 11 - 84 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 11.9 Convergence of Taylor Series; Error Estimates

86 Slide 11 - 86 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 11 - 87 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 11 - 88 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Slide 11 - 89 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 Slide 11 - 90 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

91 Slide 11 - 91 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Slide 11 - 92 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Slide 11 - 93 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 11.10 Applications of Power Series

95 Slide 11 - 95 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Slide 11 - 96 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Slide 11 - 97 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 Slide 11 - 98 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

99 Slide 11 - 99 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Slide 11 - 100 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

101 Slide 11 - 101 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 11.11 Fourier Series

103 Slide 11 - 103 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

104 Slide 11 - 104 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

105 Slide 11 - 105 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

106 Slide 11 - 106 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

107 Slide 11 - 107 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

108 Slide 11 - 108 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

109 Slide 11 - 109 Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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