SECTION 2.2 Finding Limits Graphically & Numerically

What’s the point of Calculus?

The Concept of a “Limit”

Example

Example 2

Example 2 (cont.)

Example 3

Example 4

Example 5

SECTION 2.3 Evaluating Limits Analytically

Theorems Involving Limits Theorem 2.1 Some Basic Limits (p. 79)

Theorems Involving Limits Theorem 2.2 Properties of Limits (p. 79)

Theorems Involving Limits (cont.) Theorem 2.3 Limits of Polynomial and Rational Functions (p. 80)

Theorems Involving Limits Theorem 2.4 The Limit of a Function Involving a Radical (p. 80) Theorem 2.5 The Limit of a Composite Function (p. 81)

Example 1

Example 2

Example 3

Example 4

Other Theorems Involving Limits Theorem 2.6 deals with finding the limits of trigonometric, exponential, and logarithmic functions. Theorem 2.7 talks about fnc.’s that agree at all but one point. Theorem 2.8 is the Squeeze Theorem.

Example 5 Theorem 2.9

Example 5

Limits of Transcendental Functions

Example 6

Functions Agreeing at All But One Point

Example 7