Maclaurin series

noun

Mac·lau·rin series | \ mə-ˈklȯr-ən(z)-

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

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Cite this Entry

“Maclaurin series.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Maclaurin%20series. Accessed 2 Jul. 2022.

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