Abstract
We finally come to the point where we develop a method which allows us to compute the values of the elementary functions like sine, exp, and log. The method is to approximate these functions by polynomials, with an error term which is easily estimated. This error term will be given by an integral, and our first task is to estimate integrals. We then go through the elementary functions systematically, and derive the approximating polynomials.
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© 2002 Springer Science+Business Media New York
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Lang, S. (2002). Taylor’s Formula. In: Short Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0077-9_14
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DOI: https://doi.org/10.1007/978-1-4613-0077-9_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95327-4
Online ISBN: 978-1-4613-0077-9
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