A Study on Different Approaches for Solving an Infinite Series
A. Jayapradha1, B. Kalins2
1A. Jayapradha, Assistant Professor, Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore (Tamil Nadu), India.
2B. Kalins, Assistant Professor, Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore (Tamil Nadu), India.
Manuscript received on 27 March 2019 | Revised Manuscript received on 06 April 2019 | Manuscript Published on 27 April 2019 | PP: 739-741 | Volume-7 Issue-6S2 April 2019 | Retrieval Number: F11260476S219/2019©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In various science and engineering experiments, even in day to day life, we come across various integers or some rational numbers which leads to use the real and complex numbers for the theoretical study to construct a mathematical model. Infinite series are essential for obtaining the solutions either exactly and approximately in solving differential equations that arise in every branch of science and engineering. Also many functions that exist in engineering are defined only through infinite series, and it is important to find the convergence of these series both theoretical and approximate solution of the function. Infinite series are used to approximate functions and to calculate transforms in science and engineering. In this paper, the comparison of the convergence of the series with various methods was explained with some specific examples and solution of the infinite series by different methods have been discussed.
Keywords: Infinite Series, Convergence, Partial.
Scope of the Article: Social Sciences