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Limits and Their Properties

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Presentation on theme: "Limits and Their Properties"— Presentation transcript:

1 Limits and Their Properties
Chapter Two Limits and Their Properties

2 A Preview of Calculus Copyright © Houghton Mifflin Company. All rights reserved.

3 A Preview of Calculus (cont’d)
Copyright © Houghton Mifflin Company. All rights reserved.

4 The Tangent Line Problem
Copyright © Houghton Mifflin Company. All rights reserved.

5 The Area Problem Copyright © Houghton Mifflin Company. All rights reserved.

6 Definition of Limit Copyright © Houghton Mifflin Company. All rights reserved.

7 A Strategy for Finding Limits
Copyright © Houghton Mifflin Company. All rights reserved.

8 The Squeeze Theorem Copyright © Houghton Mifflin Company. All rights reserved.

9 Continuity at a Point and on an Open Interval
Copyright © Houghton Mifflin Company. All rights reserved.

10 Continuity at a Point and on an Open Interval (cont’d)
Copyright © Houghton Mifflin Company. All rights reserved.

11 Discontinuities Copyright © Houghton Mifflin Company. All rights reserved.

12 Definition of Continuity on a Closed Interval
Copyright © Houghton Mifflin Company. All rights reserved.

13 The Intermediate Value Theorem
Copyright © Houghton Mifflin Company. All rights reserved.

14 Definition of Infinite Limits
Copyright © Houghton Mifflin Company. All rights reserved.

15 Definition of Infinite Limits (cont’d)
Copyright © Houghton Mifflin Company. All rights reserved.

16 Properties of Infinite Limits
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