# Limits of Functions of Two Variables

by Ollie Nanyes (Bradley University)

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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