Limit and infi nitesimal analysis
Abstract
Limit is a very important basic knowledge in calculus, the defi nition of limit is a simple logical proposition, which involves the existence, arbitrariness, and inequality problems. In this paper, one gives some explanations of the limit, the relationship between the limit and the infi nitesimal are demonstrated, from the infi nitesimal order to understand the limit.
References
[1] Weiguo Shen. Discussion and New Solution of Calculus Derivation Problem (Part II) -- An interpretation of Calculus theory without the concepts of limit
and infi nitesimal [J]. 2021(7):71-76.
[2] Xuexiao You,Dafang Zhao. Using an infi nitesimal and the relationship between the function limit solving limit [J]. Journal of college of science, 2012, 32
(5): 1. The DOI: CNKI: SUN: GLKX. 0.2012-05-004.
[3] Shan Li,QiaoLing Li,Xuhong Yu. Equivalent infinitesimal Substitution and the Application of Taylor Formula in Limit Operation [J]. Mathematical
Learning and Research, 2018(21):2.
[4] Hui Huang. Use opportunely equivalent infi nitesimal and Taylor formula limit [J]. Journal of jiangxi electric power vocational technology college, 2019,
32 (4): 3. DOI: CNKI: SUN: DLZG. 0.2019-04-025.
