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The \(n\)th Derivative Test and Taylor Polynomials Crossing Graphs

The author describes \(n\)th derivative test, a generalization of 2nd derivative test, then applies it to give a quick proof of a condition for determining when the graph of a function and its Taylor polynomials intersect.

Old Node ID: 
1147
Author(s): 
David K. Ruch (Metropolitan State College of Denver)
Publication Date: 
Tuesday, April 25, 2006
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
September, 2002
Subject(s): 
Calculus
Topic(s): 
Theoretical Issues
Special Series: General
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
81.00
Rating Sum: 
245.00
Rating Average: 
3.02
Author (old format): 
David K. Ruch
Applicable Course(s): 
3.0 Calculus
Modify Date: 
Friday, August 17, 2012
Average: 3 (83 votes)

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