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© 2010 Pearson Education, Inc. All rights reserved.

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Presentation on theme: "© 2010 Pearson Education, Inc. All rights reserved."— Presentation transcript:

1 © 2010 Pearson Education, Inc. All rights reserved

2 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 10 Infinite Sequences and Series

3 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 10.1 Sequences

4 Slide 1 - 4 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

5 Slide 1 - 5 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

6 Slide 1 - 6 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

7 Slide 1 - 7 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

8 Slide 1 - 8 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

9 Slide 1 - 9 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

10 Slide 1 - 10 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

11 Slide 1 - 11 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

12 Slide 1 - 12 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

13 Slide 1 - 13 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

14 Slide 1 - 14 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

15 Slide 1 - 15 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

16 Slide 1 - 16 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

17 Slide 1 - 17 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

18 Slide 1 - 18 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

19 Slide 1 - 19 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

20 Slide 1 - 20 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

21 Slide 1 - 21 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

22 Slide 1 - 22 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

23 10.2 Infinite Series

24 Slide 1 - 24 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

25 Slide 1 - 25 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

26 Slide 1 - 26 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

27 Slide 1 - 27 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

28 Slide 1 - 28 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

29 Slide 1 - 29 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

30 Slide 1 - 30 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

31 Slide 1 - 31 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

32 Slide 1 - 32 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

33 Slide 1 - 33 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

34 Slide 1 - 34 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

35 10.3 The Integral Test

36 Slide 1 - 36 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

37 Slide 1 - 37 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

38 Slide 1 - 38 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

39 Slide 1 - 39 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

40 Slide 1 - 40 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

41 Slide 1 - 41 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

42 10.4 Comparison Tests

43 Slide 1 - 43 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

44 Slide 1 - 44 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

45 Slide 1 - 45 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

46 Slide 1 - 46 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

47 Slide 1 - 47 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

48 Slide 1 - 48 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Example 2 continued

49 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 10.5 The Ratio and Root Tests

50 Slide 1 - 50 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

51 Slide 1 - 51 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

52 Slide 1 - 52 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

53 Slide 1 - 53 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

54 10.6 Alternating Series, Absolute and Conditional Convergence

55 Slide 1 - 55 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

56 Slide 1 - 56 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

57 Slide 1 - 57 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

58 Slide 1 - 58 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

59 Slide 1 - 59 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

60 Slide 1 - 60 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

61 Slide 1 - 61 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

62 Slide 1 - 62 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

63 Slide 1 - 63 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

64 Slide 1 - 64 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

65 Slide 1 - 65 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

66 10.7 Power Series

67 Slide 1 - 67 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

68 Slide 1 - 68 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

69 Slide 1 - 69 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

70 Slide 1 - 70 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

71 Slide 1 - 71 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Continued on next slide

72 Slide 1 - 72 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

73 Slide 1 - 73 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

74 Slide 1 - 74 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

75 Slide 1 - 75 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

76 Slide 1 - 76 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

77 Slide 1 - 77 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

78 Slide 1 - 78 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

79 Slide 1 - 79 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

80 Slide 1 - 80 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

81 Slide 1 - 81 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

82 Slide 1 - 82 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

83 10.8 Taylor and Maclaurin Series

84 Slide 1 - 84 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

85 Slide 1 - 85 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

86 Slide 1 - 86 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

87 Slide 1 - 87 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

88 Slide 1 - 88 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

89 Slide 1 - 89 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

90 10.9 Convergence of Taylor Series

91 Slide 1 - 91 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

92 Slide 1 - 92 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

93 Slide 1 - 93 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

94 Slide 1 - 94 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

95 Slide 1 - 95 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

96 Slide 1 - 96 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

97 Slide 1 - 97 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

98 10.10 The Binomial Series and Applications of Taylor Series

99 Slide 1 - 99 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

100 Slide 1 - 100 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

101 Slide 1 - 101 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

102 Slide 1 - 102 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

103 Slide 1 - 103 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

104 Slide 1 - 104 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

105 Slide 1 - 105 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley

106 Slide 1 - 106 Copyright © 2010 Pearson Education, Inc. Publishing as Pearson Addison-Wesley


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