You are here

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

by David K. Ruch (Metropolitan State College of Denver)

This article originally appeared in:
College Mathematics Journal
September, 2002

Subject classification(s): Calculus
Applicable Course(s): 3.0 Calculus

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.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
One-Variable Calculus | Theoretical Issues
Sequences and Series | Special Series: General
Average: 3 (84 votes)