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Mercator series : ウィキペディア英語版 | Mercator series In mathematics, the Mercator series or Newton–Mercator series is the Taylor series for the natural logarithm: : In summation notation, : The series converges to the natural logarithm (shifted by 1) whenever −1 < ''x'' ≤ 1. ==History== The series was discovered independently by Nicholas Mercator, Isaac Newton and Gregory Saint-Vincent. It was first published by Mercator, in his 1668 treatise ''Logarithmotechnia''.
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