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arXiv · 2207.00123

Yet another proof that the roots of a polynomial depend continuously on the coefficients

David A. Ross
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Abstract

The roots of a complex polynomial depend continuously on the coefficients; that is, an infinitesimal perturbation of the coefficients results in an infinitesimal perturbation of the roots. A short, straightforward proof of this is possible using infinitesimals.

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David A. Ross. 2022-06-30. Yet another proof that the roots of a polynomial depend continuously on the coefficients. https://arxiv.org/abs/2207.00123

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