Unit 3 - Sections 2.4 to 2.6

Module Overview

We conclude our study of limits - at least for now. With this unit's material, we expand the uses for limits and our understanding of how they work. We will also get to see some interesting extensions to our idea of limits, and finally examine the property of continuity.

Learning Outcomes

Section 2.4 looks at vertical asymptotes. When we examine a function like 1/x, we can clearly tell what it is doing as x approaches 0, but now we will be able to write it formally.
Section 2.5 focuses on horizontal asymptotes. We create a way to talk about how functions behave for very large values of x.
Section 2.6 deals with continuity, a property that we have taken for granted so far, despite using it very often.

Type: Video Links
Title	Author	Description
Infinite Limits Example - Easy \| Infinite Limits Example - Easy	Shai Cohen
Infinite Limits Example - Easy 2 \| Infinite Limits Example - Easy 2	Shai Cohen
Limits at Infinity Example - Hard \| Limits at Infinity Example - Hard	Shai Cohen
Limits at Infinity Example - Even Harder \| Limits at Infinity Example - Even Harder	Shai Cohen
Limits at Infinity Example - Arctangent \| Limits at Infinity Example - Arctangent	Shai Cohen
Limits at Infinity Example - Absolute Value \| Limits at Infinity Example - Absolute Value	Shai Cohen
Continuity Example - Easy \| Continuity Example - Easy	Shai Cohen
Continuity Example - Moderate \| Continuity Example - Moderate	Shai Cohen
Continuity Example - Moderate pt 2 \| Continuity Example - Moderate pt 2	Shai Cohen
Discontinuities Example \| Discontinuities Example	Shai Cohen
Infinite Limits - Definition \| Infinite Limits - Definition	Shai Cohen
Infinite Limits - One Sided \| Infinite Limits - One Sided	Shai Cohen
Infinite Limits - How to Calculate \| Infinite Limits - How to Calculate	Shai Cohen
Infinite Limits Example - Unknown Constants \| Infinite Limits Example - Unknown Constants	Shai Cohen
Infinite Limits Example - Trig \| Infinite Limits Example - Trig	Shai Cohen
Infinite Limits Example - With Trig \| Infinite Limits Example - With Trig	Shai Cohen
Limits at Infinity - Definition \| Limits at Infinity - Definition	Shai Cohen
Limits at Infinity - A Closer Look \| Limits at Infinity - A Closer Look	Shai Cohen
Limits at Infinity - How to Calculate \| Limits at Infinity - How to Calculate	Shai Cohen
Limits at Infinity - End Behaviour \| Limits at Infinity - End Behaviour	Shai Cohen
Limits at Infinity Example - Easy \| Limits at Infinity Example - Easy	Shai Cohen
Limits at Infinity Example - With Infinite Limits \| Limits at Infinity Example - With Infinite Limits	Shai Cohen
Continuity - Introduction \| Continuity - Introduction	Shai Cohen
Continuity - Discontinuities \| Continuity - Discontinuities	Shai Cohen
Continuity - Properties \| Continuity - Properties	Shai Cohen
Continuity - Compositions of Functions \| Continuity - Compositions of Functions	Shai Cohen
Continuity - Continuity on Intervals \| Continuity - Continuity on Intervals	Shai Cohen
Continuity Example - Intervals \| Continuity Example - Intervals	Shai Cohen
Continuity Example - The Works \| Continuity Example - The Works	Shai Cohen
The Intermediate Value Theorem \| The Intermediate Value Theorem	Shai Cohen
Intermediate Value Theorem Example - Failures \| Intermediate Value Theorem Example - Failures	Shai Cohen