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In this paper, we propose an upper and a lower bound of the number π expressed as the limit to infinity of two sequences. These sequences are constructed using geometric methods based on the Vieta’s approach. As far as geometrical methods for computing π is concerned, numerical results are provided to show that the proposed result is comparable to the existing ones.
- Vieta’s method
- Telescopic series
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Cite this paperAPA
Busawon, K. (2016). Upper and lower bounds for π based on Vieta’s geometrical approach. Notes on Number Theory and Discrete Mathematics, 22(4), 62-72.Chicago
Busawon, Krishna. “Upper and Lower Bounds for π Based on Vieta’s Geometrical Approach.” Notes on Number Theory and Discrete Mathematics 22, no. 4 (2016): 62-72.MLA
Busawon, Krishna. “Upper and Lower Bounds for π Based on Vieta’s Geometrical Approach.” Notes on Number Theory and Discrete Mathematics 22.4 (2016): 62-72. Print.