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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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The first known use of Maclaurin series was in 1902
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