chapter two limits and their properties. copyright © houghton mifflin company. all rights reserved....
TRANSCRIPT
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Chapter Two
Limits and Their Properties
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The Tangent Line Problem
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The Area Problem
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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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Definition of Limit
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The Squeeze Theorem
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Continuity at a Point and on an Open Interval
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Continuity at a Point and on an Open Interval (cont’d)
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Discontinuities
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Definition of Continuity on a Closed Interval
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The Intermediate Value Theorem
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Definition of Infinite Limits
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Properties of Infinite Limits