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In Praise of \( y = x^{\alpha}\sin(1/x)\)

by H. Turgay Kaptanoğlu (Middle East Technical University)

This article originally appeared in:
American Mathematical Monthly
February, 2001

Subject classification(s): Real Analysis | Analysis | Advanced Calculus | Single Variable Calculus | Calculus
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 3.2 Mainstream Calculus II | 3.0 Calculus

The article discusses a class of counterexamples in analysis.

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Capsule Course Topic(s):
One-Variable Calculus | Theoretical Issues
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