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Journal of Applied Mathematics and Computation

ISSN Print: 2576-0645 Downloads: 155309 Total View: 1849833
Frequency: quarterly ISSN Online: 2576-0653 CODEN: JAMCEZ
Email: jamc@hillpublisher.com
Article Open Access http://dx.doi.org/10.26855/jamc.2024.12.007

A New View on Solving the Limits of Functions and Estimating a Point of Functions

Hongfei Fang

Department of Mathematics and Applied Mathematics, Shandong University, Jinan 250100, Shandong, China.

*Corresponding author: Hongfei Fang

Published: January 21,2025

Abstract

Usually in the study of limit problems, we will encounter more complex problems. This paper discusses how to use the concept of equivalent infinitesimal to better limit operation, so as to achieve the purpose of simplification. At the same time, in the course of the study, we re-explored the proof process of Taylor's formula, and found that some functions have a similar expansion form to Taylor's formula, that is, 'fractional expansion'. At the same time, it is found that after the linear combination of Taylor expansion and fractional expansion, the obtained expansion is more accurate, which helps us to better understand the approximation of function expansion, so as to more accurately estimate the value of some functions and reduce the relative calculation amount. The universality of the method and some phenomena in it are also discussed.

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How to cite this paper

A New View on Solving the Limits of Functions and Estimating a Point of Functions

How to cite this paper: Hongfei Fang. (2024) A New View on Solving the Limits of Functions and Estimating a Point of FunctionsJournal of Applied Mathematics and Computation8(4), 325-331.

DOI: http://dx.doi.org/10.26855/jamc.2024.12.007