Chapter 11 Videos

Chapter 11 Limits and an Introduction to Calculus

Section 11.1 Introduction to Limits 

• 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 

Section 11.2 Techniques for Evaluating Limits 

• Video: Approximate Limits That Produce Indeterminate Forms

• Video: Finding Limits by Simplifying

• Video: Finding Limits by Simplifying

• Video: Evaluate One-Sided Limits 

Section 11.3 The Tangent Line Problem

• 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 

Section 11.4 Limits at Infinity and Limits of Sequences

• 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

• Video: Determine the Convergence or Divergence of 

Section 11.5 The Area Problem

• Video: Using Sigma Notation

• Video: Summation Notation

• Video: Summation Formulas

• Video: Approximation of the Area under a Curve Using Rectangles

• Video: Area of a Region in the Plane

• Video: Area from Riemann Sums - Part A

• Video: Area from Riemann Sums - Part B