Presentation is loading. Please wait.

Presentation is loading. Please wait.

Chapter 2 Limits.

Similar presentations


Presentation on theme: "Chapter 2 Limits."— Presentation transcript:

1 Chapter 2 Limits

2 2.1 The Idea of Limits

3 Figure 2.1

4 Figure 2.2 (a)

5 Figure 2.2 (b)

6 Figure 2.3

7 Table 2.1

8 Figure 2.4

9 Figure 2.5

10 Figure 2.6 (1 of 3)

11 Figure 2.6 (2 of 3)

12 Figure 2.6 (3 of 3)

13 2.2 Definitions of Limits

14

15 Figure 2.7

16 Figure 2.8

17 Figure 2.9

18 Figure 2.10

19 Table 2.2

20

21 Figure 2.11 (a & b)

22 Figure 2.12 (a & b)

23 Table 2.3

24

25 Figure 2.13

26 Table 2.4

27 Figure 14

28 Techniques for Computing Limits
2.3 Techniques for Computing Limits

29 Figure 2.15

30

31

32

33

34 Figure 2.16

35 Figure 2.17

36 Figure 2.18

37 Figure 2.19 (a)

38 Figure 2.19 (b)

39 Table 2.5

40 Figure 2.20

41

42 Figure 2.21

43 Figure 2.22

44 2.4 Infinite Limits

45 Table 2.6

46 Table 2.7

47 Figure 2.23

48 Figure 2.24 (a)

49 Figure 2.24 (b)

50

51 Figure 2.25

52

53 Figure 2.26 (a & b) continued…

54 Figure 2.26 (c & d)

55

56 Figure 2.27

57 Table 2.8

58 Figure 2.28

59 Figure 2.29

60 2.5 Limits at Infinity

61 Figure 2.30

62 Figure 2.31

63

64 Figure 2.32

65 Figure 2.33

66 Figure 2.34

67

68 Figure 2.35

69

70 Figure 2.36

71 Figure 2.37

72 Figure 2.38

73 Figure 2.39

74 Figure 2.40

75 Figure 2.41

76

77 Figure 2.42

78 Figure 2.43

79 Figure 2.44

80 Figure 2.45

81 Table 2.9

82

83 2.6 Continuity

84 Figure 2.46 (a)

85 Figure 2.46 (b)

86 Figure 2.47

87

88

89 Figure 2.48

90 Identify discontinuities
Example 2

91

92

93 Figure 2.49

94

95 Limit of a composition Example 4

96

97 Example 5 Limits of composite functions

98 Figure 2.50 (a)

99 Figure 2.50 (b)

100

101

102 Example 6 Intervals of continuity

103 Figure 2.51

104

105 Figure 2.52

106 Continuity of Trig Functions

107 Figure 2.53

108 Figure 2.54

109 Figure 2.55

110

111

112 Limits of Transcendental Functions
Example 8

113 Figure 2.56

114 Figure 2.57

115

116 Figure 2.58

117 Precise Definitions of Limits
2.7 Precise Definitions of Limits

118 Figure 2.59

119 Figure 2.60 (a)

120 Figure 2.60 (b)

121 Figure 2.61 (a)

122 Figure 2.61 (b)

123 Figure 2.62

124 Figure 2.63

125

126 Figure 2.64

127 Figure 2.65

128 Figure 2.66

129 Figure 2.67 (a)

130 Figure 2.67 (b)

131 Figure 2.68 (a)

132 Figure 2.68 (b)

133

134

135 Figure 2.69

136


Download ppt "Chapter 2 Limits."

Similar presentations


Ads by Google