L’HÔPITAL’S RULES AND THEIR APPLICATION IN CALCULATING LIMITS

Authors

  • Boboqulova Durdona Sanjar qizi First-year student of the Mathematics Department, Faculty of Pedagogy, Shahrisabz State Pedagogical Institute

Keywords:

Keywords: L’Hôpital’s Rule, limit, indeterminate forms, derivative, calculus, asymptotic analysis, rational functions.

Abstract

Abstract: L’Hôpital’s Rule is a powerful method in calculus used to evaluate limits that result in indeterminate forms such as 0/0 or ∞/∞. This article provides a formal explanation of the rule, its conditions of use, and illustrates its application through various examples. By simplifying complex limits, L’Hôpital’s Rule serves as a key analytical tool in both theoretical mathematics and applied fields like physics, economics, and engineering.

References

1. Stewart, J. (2016). Calculus: Early Transcendentals. Cengage Learning.

2. Spivak, M. (2008). Calculus. Cambridge University Press.

3. Thomas, G. B., & Finney, R. L. (2010). Calculus and Analytic Geometry. Pearson.

4. Khan Academy. L’Hôpital’s Rule and Indeterminate Forms. [https://www.khanacademy.org]

5. Apostol, T. M. (1967). Calculus, Vol. 1. Wiley.

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Published

2025-11-01

How to Cite

Boboqulova Durdona Sanjar qizi. (2025). L’HÔPITAL’S RULES AND THEIR APPLICATION IN CALCULATING LIMITS. NEW SCIENTIFIC PERSPECTIVES AT THE INTERSECTION OF LANGUAGE, CULTURE, AND TECHNOLOGY, 1(2), 152–154. Retrieved from https://worldconferences.us/index.php/nsp/article/view/585

Issue

Vol. 1 No. 2 (2025): NEW SCIENTIFIC PERSPECTIVES AT THE INTERSECTION OF LANGUAGE, CULTURE, AND TECHNOLOGY

Section

Articles