Applications of the Taylor polynomial in solving indeterminate limits.
DOI:
https://doi.org/10.59282/reincisol.V3(5)469-481Keywords:
Convergence; functions; numerical series.Abstract
In this research, the use of the Taylor polynomial as a tool for solving indeterminate limits in mathematical analysis was explored. The importance of solving limits was highlighted and how the Taylor polynomial offers a precise alternative to address the complexity of indeterminate limits. The detailed methodology included the mathematical definition of the Taylor polynomial, the selection of specific exercises and the step-by-step resolution of each one. The results demonstrated the effectiveness of the Taylor polynomial in providing accurate approximations of the functions at the relevant points, allowing direct evaluation of the limits with consistent results. The discussion highlighted the usefulness and limitations of this technique, identifying areas for future research. In conclusion, this research highlights the value of the Taylor polynomial as a powerful tool in solving indeterminate limits, contributing to the advancement of knowledge in mathematical analysis.
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Copyright (c) 2024 Sting Brayan Luna-Fox, Javier Alfonso Caiza Falconí, María del Carmen Castelo Naveda, Luis Alberto Uvidia Armijo
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