Chap 2

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Chapter Two
Limits and Their
Properties
The Tangent Line Problem
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2|2
The Area Problem
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2|3
A Strategy for Finding Limits (simplified)
• Use direct substitution (easiest
method).
• If direct substitution does not work try
finding an equal function that can be
evaluated by direct substitution. This
is usually accomplished by some
algebraic technique such as factoring.
• Use a graph or table to reinforce your
conclusion.
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2|4
Definition of Limit
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2|5
The Squeeze Theorem
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2|6
Continuity at a Point and on an Open Interval
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2|7
Continuity at a Point and on an Open Interval
(cont’d)
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2|8
Discontinuities
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2|9
Definition of Continuity on
a Closed Interval
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2 | 10
The Intermediate Value Theorem
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2 | 11
Definition of Infinite Limits
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2 | 12
Properties of Infinite Limits
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2 | 13
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