chapter 1 limits and their properties. copyright houghton mifflin company. all rights reserved.21-2...

Chapter 1

Limits and Their Properties

Figure 1.1

Figure 1.3

Figure 1.4

Common Types of Behavior Associated with Nonexistence of a Limit

Definition of Limit

Theorem 1.1 Some Basic Limits

Theorem 1.2 Properties of Limits

Theorem 1.3 Limits of Polynomial and Rational Functions

Theorem 1.4 The Limit of a Function Involving a Radical

Theorem 1.5 The Limit of a Composite Function

Theorem 1.6 Limits of Trigonometric Functions

Theorem 1.7 Functions That Agree at All But One Point

A Strategy for Finding Limits Box

Theorem 1.8 The Squeeze Theorem and Figure 1.21

Theorem 1.9 Two Special Trigonometric Limits

Figure 1.25

Definition of Continuity

Figure 1.26

Figure 1.28

Theorem 1.10 The Existence of a Limit

Definition of Continuity on a Closed Interval and Figure 1.31

Theorem 1.11 Properties of Continuity

Theorem 1.12 Continuity of a Composite Function

Theorem 1.13 Intermediate Value Theorem

Figure 1.35 and Figure 1.36

Definition of Infinite Limits and Figure 1.40

Definition of Vertical Asymptote

Theorem 1.14 Vertical Asymptotes

Theorem 1.15 Properties of Infinite Limits

Definition of Limits at Infinity and Figure 3.34

Definition of a Horizontal Asymptote

Theorem 3.10 Limits at Infinity

Guidelines for Finding Limits at +/- infinity of Rational Functions

Definition of Infinite Limits at Infinity

chapter 1 limits and their properties. copyright houghton mifflin company. all rights reserved.21-2...

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