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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Science+Business Media New York
About this chapter
Cite this chapter
Little, C.H.C., Teo, K.L., van Brunt, B. (2015). Taylor Polynomials and Taylor Series. In: Real Analysis via Sequences and Series. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2651-0_8
Download citation
DOI: https://doi.org/10.1007/978-1-4939-2651-0_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-2650-3
Online ISBN: 978-1-4939-2651-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)