About This Chapter
Who's It For:
Anyone who needs help learning or mastering limits in business calculus material will benefit from the lessons in this chapter. There is no faster or easier way to learn limits in business calculus. Among those who would benefit are:
- Students who have fallen behind in understanding limits in business calculus
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning business (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about limits in business calculus
- Students who struggle to understand their teachers
- Students who attend schools without extra business learning resources
How It Works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Working with Limits in Business Calculus chapter exam.
Why It Works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Working with Limits in Business Calculus chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any question about limits in business calculus. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students Will Review:
This chapter helps students review the concepts in a limits unit of a standard business calculus course. Topics covered include:
- Understanding limits and their relationship to functions
- Continuity and one-sided limits
- Using notation
- Defining limits by graphing
- Asymptotes and infinity
- Constant and average rates
- Slope and rate of change
1. Understanding the Properties of Limits
Graphically we can see limits, but how do we actually calculate them? Three words: Divide and Conquer. In this lesson, explore some of the properties that we can use to find limits.
2. How to Determine the Limits of Functions
You know the definition of a limit. You know the properties of limits. You can connect limits and continuity. Now use this knowledge to calculate the limits of complex functions in this lesson.
3. One-Sided Limits and Continuity
Over the river and through the woods is only fun on a continuous path. What happens when the path has a discontinuity? In this lesson, learn about the relationship between continuity and limits as we walk up and down this wildlife path.
4. Understanding Limits: Using Notation
Join me on a road trip as we define the mathematical notation of limits. As time goes by and I traverse hills and highways, the limit of my speed changes. Learn how to write these limits in this lesson.
5. Using a Graph to Define Limits
My mom always said I tested the limits of her patience. Use graphs to learn about limits in math. You won't get grounded as we approach limits in this lesson.
6. Graphs and Limits: Defining Asymptotes and Infinity
Infinity is a hard concept to understand and the word asymptote is pretty intimidating. But this fun lesson will make both seem like a walk in the park as it defines both and shows their relationship using a graph.
7. Finding Constant and Average Rates
Watch this video lesson to learn the differences between constant and average rates. You will learn the steps you need to take to find them and get two great visuals you can keep in mind to help you solve these rate problems.
8. Slopes and Rate of Change
If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.
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Other chapters within the Business Calculus: Help & Review course
- Functions for Business Calculus
- Derivatives & Differentiation in Business Calculus
- Calculating & Graphing Derivatives in Business Calculus
- Derivatives of Functions in Business Calculus
- Optimization in Business Calculus
- Logarithms in Business Calculus
- Integrals in Business Calculus
- Growth Models in Business Calculus
- Multi-Variable Calculus