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arXiv · 1112.5092

Generalization of Ramanujan Method of Approximating root of an equation

Ramesh Kumar Muthumalai
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Abstract

We generalize Ramanujan method of approximating the smallest root of an equation which is found in Ramanujan Note books, Part-I. We provide simple analytical proof to study convergence of this method. Moreover, we study iterative approach of this method on approximating a root with arbitrary order of convergence.

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Ramesh Kumar Muthumalai. 2011-12-21. Generalization of Ramanujan Method of Approximating root of an equation. https://arxiv.org/abs/1112.5092

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