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ERIC Number: EJ875489
Record Type: Journal
Publication Date: 2005
Pages: 3
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0740-8404
Classroom Issues with Series Tests
Sadek, Jawad; Euler, Russell
AMATYC Review, v27 n1 p58-60 Fall 2005
We find infinite series in calculus to be one of the most confusing topics our students encounter. In this note, we look at some issues that our students find difficult or ambiguous involving the Ratio Test, the Root Test, and also the Alternating Series Test. We offer some suggestions and some examples, which could be a supplement to the set of the exercises in the standard calculus texts, to help alleviate these difficulties. Precisely, we discuss the issue of the relationship between the Ratio Test and the Root Test as well as some misconceptions that students may have when applying the Alternating Series Test. In particular, students often fail to understand the importance of checking that the sequence is nonincreasing. We also point out how they may even confuse the concept of alternating terms.
American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Postsecondary Education; Two Year Colleges
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A