Limits & Continuity Unit

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Table of Contents

Chapter 1: Introduction to Limits
Introduction
Limits Graphically
Two-Sided Limits
Limits That Do Not Exist (DNE)
Evaluating Limits Analytically
Substitution with One-Sided Limits
Limits of Piecewise-Defined Functions
Limits of Absolute Value Functions

Chapter 2: Indeterminate and Infinite Limits
The Indeterminate Form of 0/0
More with the Form of 0/0
Infinite Limits: Graphically
Analyzing Infinite Limits
Squeeze Theorem & Limits Involving Sine
Limits Involving More Trigonometric Functions
Limits at Infinity Graphically
Limits at Infinity with Rationals
Limits at Infinity with Radicals

Chapter 3: Continuity and Problem Solving
Function Continuity Conditions
Continuity Conditions for Intervals
Making Functions Continuous
Intermediate Value Theorem
Problem Solving: Limits with Graphs
Problem Solving: Limits without Graphs

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