Limits and Continuity
Home Up Calendar Summer Pre-Calculus Limits and Continuity Derivatives Applications Integral Integration Techniques Volumes L'Hopital Infinite Series Parametric Vectors Unit Marks




Unit Title Video Shorts Video Long Video Links Homework Solutions
1. Rate of Change and Limits

Limits and Graphs

Limits Limit Concept Worksheet 2.1

Handout 2.1

Worksheet 2.1 Solutions


2. Indeterminate Forms

Calculating Limits


Limit Example 1 (Factoring)

Limit Example 2 (Difference of Squares)

Limit Example 3 (Difference of Cubes)

Limit Example 4 (Sum of Cubes)

Limit Example 5 (Variable Substitution)

Limit Example 6 (Conjugate)

Limit Example 7 (Combination)

Limit Example 8 (Difference of Cube Roots)

Limit Example 9 (Absolute Value)

Worksheet 2.2 Worksheet 2.2 Solutions
3. Limits involving Infinity   Algebra of Limits Limit Example 10 (infinity minus infinity)

Limit Example 11 (infinity with a quotient)

Limit Example 12 (infinity with a Cosine)

Worksheet 2.3

Asymptotes 2.3

Worksheet 2.3 Solutions


4. Continuity


Continuous Functions Continuity

Continuity Example 1 (Quotient)

Continuity Example 2 (infinite)

Continuity Example 3 (Piecewise)

Continuity Example 4

Worksheet 2.4 Worksheet 2.4 Solutions
5. Rates of Change and Tangent Lines

Average Rate of Change Intro

Example 1

Example 2

Example 3

Slope and Derivative

Rates of Change   Worksheet 2.5 Worksheet 2.5 Solutions
6. Epsilon and Delta     Epsilon/Delta

Precise Definition

Finding Delta

Worksheet 2.6

Handout 2.6

Worksheet 2.6 Solutions


7. Review       Pre Test Pre Test Solutions
        Squeeze Theorem

Squeeze with inequality

Limit Practice  
          More Limit Practice