Author(s)

Bing Hao ¹, Yuntao Liu ¹, Fubin Chen ¹

Affiliation(s)

¹ Oxbridge College, Kunming University of Science and Technology, Kunming, 650106, China

Corresponding Author

Bing Hao

ABSTRACT

The limit of a univariate function is a critical concept in advanced mathematics, serving as the theoretical foundation for differentiation and integration. When it comes to the limit of bivariate functions, many students have limited exposure to bivariate functions during their high school years. This, coupled with the scarce explanations in textbooks, leads to some misconceptions in understanding the limit of bivariate functions. This paper delves into the concept of the limit of bivariate functions, introduces and solves the limit of bivariate functions by exemplifying the method of determining the limit of univariate functions; It also explains the double limit and iterated limit and distinguishes between them with practical examples, highlighting their connection through a theorem. By preliminarily analyzing the limit of bivariate functions, we hope to inspire math enthusiasts and deepen their understanding of double limits.

KEYWORDS

Bivariate Function, Double Limit, Iterated Limit, L'Hospital's Rule

CITE THIS PAPER

Bing Hao, Yuntao Liu, Fubin Chen, Preliminary Analysis of Double Limits. Numerical Algebra and Scientific Computing (2023) Vol. 2: 1-6. DOI: http://dx.doi.org/10.23977/nasc.2023.020101.

REFERENCES

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