International Journal of Mathematics Trends and Technology
Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P513
This paper mainly investigated the application of Taylor's mean value theorem and formula. The beginning of this article introduces the related concepts of mean value theorem and Taylor formula and its proof, then there is the key part, we mainly introduced the nine applications, presented in the form of examples. Then the Taylor mean value theorem and its formula in the limit of function, proving equality and inequality, discriminating convergence of series and generalized integral, estimating the boundary of derivative function and in the application of function equation are summarized.
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Su Xiao-ya, Zhai Yan-hui, "Application of Taylor's Mean Value Theorem and Formula," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 105-116, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P513
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