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Published in:
2015 | OriginalPaper | Chapter
8. Taylor Polynomials and Taylor Series
Authors : Charles H. C. Little, Kee L. Teo, Bruce van Brunt
Published in: Real Analysis via Sequences and Series
Publisher: Springer New York
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Abstract
Taylor polynomials are used to approximate values of functions at specified points. The error incurred is investigated by means of Taylor’s theorem. A method for ensuring that the approximation is accurate to within a specified error tolerance is illustrated. Taylor polynomials are then used to define Taylor series. Several techniques for finding these series are also discussed.