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Density of the Images of Integers under Continuous Functions

by Sining Zheng (Dalian University of Technology, China) and Jiangchen Cheng (Dalian University of Technology, China)

This article originally appeared in:
Mathematics Magazine
December, 1999

Subject classification(s): Analysis | Real Analysis | Convergence
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

The authors show that for every continuous function with irrational period, the set of images of integers is dense in the range.


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