NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ838170
Record Type: Journal
Publication Date: 2005-Dec
Pages: 14
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-1051-1970
Approximating Functions with Exponential Functions
Gordon, Sheldon P.
PRIMUS, v15 n4 p349-362 Dec 2005
The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x" are used as targets to assess how well the various approximations fit a given function. Some of the particularly nice properties of Taylor polynomials are shown not to apply to exponential approximations, a good lesson for students who can thereby gain a deeper appreciation of the power of Taylor approximations. (Contains 11 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A