No Slide Title

Download Report

Transcript No Slide Title

Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Chapter 2
Limits and Continuity
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
2.1
Rates of Change and Limits
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 4
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 5
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 6
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 7
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 8
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 9
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 10
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 11
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 12
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 13
2.2
Calculating Limits Using
the Limits Laws
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 15
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 16
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 17
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 18
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 19
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 20
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 21
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 22
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 23
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 24
2.3
The Precise Definition of a Limit
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 26
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 27
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 28
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 29
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 30
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 31
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 32
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 33
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 34
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 35
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 36
2.4
One-Sided Limits and
Limits at Infinity
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 38
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 39
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 40
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 41
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 42
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 43
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 44
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 45
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 46
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 47
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 48
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 49
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 50
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 51
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 52
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 53
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 54
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 55
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 56
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 57
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 58
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 59
2.5
Infinite Limits and
Vertical Asymptotes
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 61
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 62
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 63
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 64
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 65
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 66
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 67
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 68
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 69
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 70
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 71
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 72
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 73
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 74
2.6
Continuity
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 76
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 77
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 78
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 79
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 80
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 81
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 82
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 83
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 84
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 85
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 86
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 87
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 88
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 89
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 90
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 91
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 92
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 93
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 94
2.7
Tangents and Derivatives
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 96
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 97
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 98
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 99
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 100
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 101
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 102
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 103
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 104
Copyright © 2005 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 2 - 105