Euler's wonderful insight (Q1935349)
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scientific article; zbMATH DE number 6136581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Euler's wonderful insight |
scientific article; zbMATH DE number 6136581 |
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Euler's wonderful insight (English)
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15 February 2013
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It is shown (well-known in scattered places) that the Euler infinite product expansion of \(\sin x/x\) implies such results as the Wallis formula for \(2/\pi\), the Gregory-Leibnitz alternating series for \(\pi/4\), Euler's Basel formula for \(\pi^2/6\), and the Lord Brouncker's continued fraction for \(4/\pi\).
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Euler's infinite product for \(\sin x/x\)
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