Review for Chapter 11     

Section 11.1 Introduction to Limits

E-textbook: Section 11.1

NoteTaking Guide: Section 11.1

• Video: Formal Definition of a Limit
• Video: Formal Definition of a Limit
• Video: Find Limits of Functions Graphically and Numerically
• Video: Recognize Unbounded Behavior of Functions
• Video: Recognize Unbounded Behavior of Functions
• Video: Recognize Unbounded Behavior of Functions
• Video: Use the Properties of Limits to Evaluate Limits of Functions
• Video: Properties of Limits
• Video: Finding Limits with the Rules of Limits
• Video: Limits of Polynomial and Rational Functions

HW 11-1     Problems 3 – 9 Odd, 29 – 35 Odd, 47, 51 – 67 Odd

Section 11.2 Techniques for Evaluating Limits

E-textbook: Section 11.2

NoteTaking Guide: Section 11.2

• Video: Approximate Limits That Produce Indeterminate Forms
• Video: Finding Limits by Simplifying
• Video: Finding Limits by Simplifying
• Video: Evaluate One-Sided Limits
• Simulation: Identifying a Composition of Functions and Finding a Difference Quotient

HW 11-2     Problems 1 – 11 Odd, 53 – 59 Odd, 69, 71

Section 11.3 The Tangent Line Problem

E-textbook: Section 11.3

NoteTaking Guide: Section 11.3

• Video: Approximate the Slopes of Tangent Lines to Graphs at Points
• Video: Slope of Tangent Lines to a Point on a Curve
• Video: Tangents, Secants, and Rate of Change
• Video: Tangent Line with Slope m - Part A
• Video: Tangent Line with Slope m - Part B
• Video: A Limit from Calculus
• Video: Use the Limit Definition to Find the Derivatives of Functions

HW 11-3     Problems 13, 15, 25 – 31 Odd, 39 – 45 Odd, 51 – 54 

Section 11.4 Limits at Infinity and Limits of Sequences

E-textbook: Section 11.4

NoteTaking Guide: Section 11.4

• Video: Find the Horizontal Asymptotes of Functions and Find Limits at Infinity
• Video: Properties of Limits at Infinity
• Video: Evaluation of Limits at Infinity for a Rational Function
• Video: Find the Horizontal Asymptotes of Functions and Find Limits at Infinity
• Video: Limits at Infinity
• Simulation: Evaluating a Limit at Infinity
• Video: Determine the Convergence or Divergence of

HW 11-4     Problems 9 – 21 Odd, 39 – 43 Odd, 49