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A High-Precision Approximation to PI using an Arccosine Limiting Sequence

Year: 2026

Type: preprint

Abstract: This paper introduces a closed-form transcendental formulation that converges monotonically to 𝜋. The expression is constructed by evaluating a base-10 sequence featuring a terminal digit 9 collapsing toward zero within the arccosine function. The formulation analytically converges to 𝜋 in the limit as the exponent index approaches infinity.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24028590

Author: Varanasi, Bheema

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225456374

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