Maclaurin series


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

Word History


Colin Maclaurin †1746 Scottish mathematician

First Known Use

1881, in the meaning defined above

Time Traveler
The first known use of Maclaurin series was in 1881

Dictionary Entries Near Maclaurin series

Cite this Entry

“Maclaurin series.” Dictionary, Merriam-Webster, Accessed 22 May. 2024.

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