A High-Precision Approximation to ๐œ‹ using a Trigonometric Limiting Sequence

This note introduces a closed-form transcendental sequence that converges monotonically to ๐œ‹, constructed by embedding an base-10 infinite geometric series within an inverse trigonometric operator.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23958816
Primary Topic
Advanced Mathematical Identities
Type
preprint
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preprint

A High-Precision Approximation to ๐œ‹ using a Trigonometric Limiting Sequence

Bheema Varanasi
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Identities
preprint

A High-Precision Approximation to ๐œ‹ using a Trigonometric Limiting Sequence

Bheema Varanasi
preprint en

Abstract

This note introduces a closed-form transcendental sequence that converges monotonically to ๐œ‹, constructed by embedding an base-10 infinite geometric series within an inverse trigonometric operator.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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A High-Precision Approximation to ๐œ‹ using a Trigonometric Limiting Sequence โ€” Bheema Varanasi ยท Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS