You are here

Limits of Functions of Two Variables

by Ollie Nanyes (Bradley University)

This article originally appeared in:
College Mathematics Journal
September, 2005

Subject classification(s): Limits | Several Variable Calculus | Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 3.3 Mainstream Calculus III, IV

A new function discontinuous at \(0\) is contrived so that the limit approaching \(0\) along any path \(y=mx^n\) is zero.

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):
Multivariable Calculus | Properties of Curves
Average: 3.5 (93 votes)