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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.

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Capsule Course Topic(s): Multivariable Calculus | Properties of Curves
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