THE ANALYSIS OF CONVERGENT AND DIVERGENT SERIES
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2025
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| _version_ | 1866901377754595328 |
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| author | Sadullayev, Jaloliddin |
| author_facet | Sadullayev, Jaloliddin |
| contents | <p><span>This article provides an in-depth analysis of convergent and divergent series, fundamental concepts in mathematical analysis. It explores the definitions, characteristics, and key tests used to determine the convergence or divergence of a series. Various tests, including the nth-term test, integral test, comparison test, ratio test, and root test, are discussed to illustrate their applicability. Additionally, examples of both convergent and divergent series are presented to enhance comprehension. The significance of these series in real-world applications, particularly in physics, engineering, and finance, is also highlighted. Understanding the behavior of series is essential for modeling complex systems and solving practical problems.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_14922772 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | THE ANALYSIS OF CONVERGENT AND DIVERGENT SERIES Sadullayev, Jaloliddin <p><span>This article provides an in-depth analysis of convergent and divergent series, fundamental concepts in mathematical analysis. It explores the definitions, characteristics, and key tests used to determine the convergence or divergence of a series. Various tests, including the nth-term test, integral test, comparison test, ratio test, and root test, are discussed to illustrate their applicability. Additionally, examples of both convergent and divergent series are presented to enhance comprehension. The significance of these series in real-world applications, particularly in physics, engineering, and finance, is also highlighted. Understanding the behavior of series is essential for modeling complex systems and solving practical problems.</span></p> |
| title | THE ANALYSIS OF CONVERGENT AND DIVERGENT SERIES |
| url | https://doi.org/10.5281/zenodo.14922772 |