Limits and Their Properties Chapter 1 Limits and Their Properties

A Preview of Calculus SEC 1.1 Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.1 Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.3 Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.4 Copyright © Houghton Mifflin Company. All rights reserved.

Graphically and Numerically SEC 1.2 Finding Limits Graphically and Numerically Copyright © Houghton Mifflin Company. All rights reserved.

Common Types of Behavior Associated with Nonexistence of a Limit Copyright © Houghton Mifflin Company. All rights reserved.

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

Evaluating Limits Analytically SEC 1.3 Evaluating Limits Analytically Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.1 Some Basic Limits Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.2 Properties of Limits Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.3 Limits of Polynomial and Rational Functions Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.4 The Limit of a Function Involving a Radical Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.5 The Limit of a Composite Function Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.6 Limits of Trigonometric Functions Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.7 Functions That Agree at All But One Point Copyright © Houghton Mifflin Company. All rights reserved.

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

Theorem 1.8 The Squeeze Theorem and Figure 1.21 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.9 Two Special Trigonometric Limits Copyright © Houghton Mifflin Company. All rights reserved.

Continuity and One-Sided Limits SEC 1.4 Continuity and One-Sided Limits Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.25 Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Continuity Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.26 Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.28 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.10 The Existence of a Limit Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Continuity on a Closed Interval and Figure 1.31 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.11 Properties of Continuity Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.12 Continuity of a Composite Function Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.13 Intermediate Value Theorem Copyright © Houghton Mifflin Company. All rights reserved.

Figure 1.35 and Figure 1.36 Copyright © Houghton Mifflin Company. All rights reserved.

SEC 1.5 Infinite Limits Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Infinite Limits and Figure 1.40 Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Vertical Asymptote Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.14 Vertical Asymptotes Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 1.15 Properties of Infinite Limits Copyright © Houghton Mifflin Company. All rights reserved.