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ERIC Number: EJ875528
Record Type: Journal
Publication Date: 2007
Pages: 3
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0740-8404
A Couple of "Lim (h[right arrow]0)-Is-Missing" Problems
Lau, Ko Hin
AMATYC Review, v29 n1 p42-44 Fall 2007
Since most students "hate" the concept of limit, in order to make them "happier," this article suggests a couple of naive "lim (h[right arrow]0)-is-missing" problems for them to try for fun. Indeed, differential functional equations that are related to difference quotients in calculus are studied in this paper. In particular, two interesting observations are made in this article, namely, (1) it is possible to solve a differential functional equation just by some basic algebra; and (2) a certain class of smooth functions is characterized by imposing a simple condition on the value c, where c is guaranteed by the Mean Value Theorem for any smooth functions defined on any interval [a, b].
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: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A