Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 10, 17 November 2023
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Evaluation of limits including integrals by L’ Hôpital’s rule
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Abstract
Limit is significant concept in mathematic analysis. Technically, limit’s definition in mathematics is that a variable in a function gradually approximates to a certain value in the changing process which cannot be ended. L’ Hôpital’s rule and Taylor expansion, together with other methods such as Stolz theorem, are usually used in measuring a limit’s value. In this paper, it will focus on some representative limits that are related to definite integrals. L’ Hôpital’s rule and Taylor's expansion are also jointed used so as to solve the problems. The main part of this work talks about the limit of the integration of trigonometric function, under which situation Taylor’s expansion is commonly utilized. This article talks about the polynomial’s integration as well, under which situation the approximation method is also employed. Trigonometric function and polynomial function are frequently appeared in evaluating limit. This means that this paper is summarizing the prime functions in integration-related limits.
Keywords
limit, L’ Hôpital’s rule, trigonometric function, Taylor expansion
References
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Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-131-5
- ISBN (Online)
- 978-1-83558-132-2
- Published Date
- 17 November 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/10/20230323
- Copyright
- 17 November 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited