Maclaurin polynomial

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Noun

Maclaurin polynomial (plural Maclaurin polynomials)

  1. (mathematics) A truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.
    • 1996, Arthur Wayne Roberts, Calculus: The Dynamics of Change, Mathematical Association of America, page 109:
      Use the formula for the nth Maclaurin polynomial for a function f(x) given below to find the 5th Maclaurin polynomial for f(x) = ln(l + x). Show all of your work.
    • 1996, Louis Leithold, The Calculus 7, HarperCollins, page 681:
      Use the Maclaurin polynomial for the function defined by f(x) = ln(l + x) to compute the value of In 1.2 accurate to four decimal places.
    • 1998, Howard Anton, Calculus, Volume 2, Wiley, page 654:
      In the Maclaurin polynomials for sin x, only the odd powers of x appear explicitly.
    • 2010, Stephen Hillbert, Diane D. Schwartz, Stan Seltzer, John Maceli, Eric Robinson, Calculus: An Active Approach with Projects, Mathematical Association of America, page 294:
      Or, it could be reinforcement of material on Taylor and Maclaurin polynomials that the students have had.

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