This site contains a webpage discussing basic possible cases of when a limit of a function of a single variable would fail to exist. This site is basically like a discussion forum.
Type of Material:
Reference material.
Recommended Uses:
This site can be used for an in-class demonstration, self-study, or individual student practice for assignments or exams.
Technical Requirements:
All Browsers
Identify Major Learning Goals:
Develop a better understanding of limits and continuity for a function of a single variable.
Target Student Population:
Students in a Calculus I course.
Prerequisite Knowledge or Skills:
First semester of Calculus (concurrent Calculus I class).
Content Quality
Rating:
Strengths:
Definition of a limit of a function is, without a doubt, one of the most fundamental and important concepts in Calculus. This site allows the user to visually explore the possible situations when a limit of a function of a single variable would fail to exist. This site provides various cases when the limit does not exist. The site also offers an exploration question on the subject with a complete solution.
Concerns:
The page lacks interactivity.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
Typically, Calculus I students experience difficulties understanding the definition of limit. Therefore, the site can be used as a part of in-class demonstration or as a part of homework, or perhaps a self-guided activity. An exploration question is a helpful way to check the understanding of the material.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
The site is essentially one web page so there are no problems using it whatsoever.
Other Issues and Comments:
It would be great if the site could include practical examples or quizzes.
Creative Commons:
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