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arXiv · 1907.02700

Constructive proof of Herschfeld's Convergence Theorem

Ran Gutin
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Abstract

In this paper, we present a constructive proof of Herschfeld's Convergence Theorem. Our formulation differs from Herschfeld's in a few ways: We consider radicals that nest transfinitely many times, as these are essential to the proof; additionally, we formulate the conditions for convergence in such a way that a constructive proof is possible.

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Ran Gutin. 2019-07-05. Constructive proof of Herschfeld's Convergence Theorem. https://arxiv.org/abs/1907.02700

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