History of Science and Engineering Annotation << Back An Estimate of Remainder of the Asymptotic Series for Calculating of Pi Introduced by L. Euler E.V. Shukhman The article observes the asymptotic series for calculating of Pi introduced by Euler. We have proved this series alternates round Pi with constant equal 2. Key words: history of mathematics; Leonhard Euler; Euler-Maclaurin’s summation formula; calculation of Pi. E-mail: moye@inbox.ru