Maclaurin series

Mac·​lau·​rin series | \ mə-ˈklȯr-ən(z)- How to pronounce Maclaurin series (audio) \

Definition of Maclaurin series

: a Taylor series that is expanded about the reference point zero and that takes the form {latex}f(x) = f(0) + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^{2} + \dots + \frac{f^{[n]}(0)}{n!}x^{n}{/latex} subject to the conditions holding for a Taylor series

called also Maclaurin's series

First Known Use of Maclaurin series

1902, in the meaning defined above

History and Etymology for Maclaurin series

Colin Maclaurin †1746 Scottish mathematician

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The first known use of Maclaurin series was in 1902

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Cite this Entry

“Maclaurin series.” The Dictionary, Merriam-Webster Inc., Accessed 9 December 2019.

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