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The Limit of \(x^{x^{\cdots^x}}\) as \(x\) Tends to Zero

by J. Marshall Ash (DePaul University)

This article originally appeared in:
Mathematics Magazine
June, 1996

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

The limit from the right in the title is shown to be \(1\) if the number of \(x\)'s is even, \(0\) if it is odd.

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