• Dr Indu Pal

Infinite series play a significant role in various fields of mathematics, science, and engineering. They are often used to approximate functions, model physical phenomena, and analyse data. The study of infinite series has led to the development of important mathematical techniques and concepts, including convergence, divergent series, and analytic continuation. In analysis, infinite series are used to define functions and study their properties. In number theory, infinite series are used to study the behavior of prime numbers and solve equations. In physics, infinite series are used to model complex physical phenomena such as wave propagation, thermodynamics, and quantum mechanics. The significance of infinite series research extends beyond mathematics and science. The infinite series have been used in finance to model and price financial instruments, and in computer science to develop algorithms and optimize computer programs. Additionally, infinite series have played a crucial role in the development of modern technology, including telecommunications, electronics, and computing. The paper explored of infinite series is crucial in various fields and has led to significant advancements in mathematics, science, and technology.

Infinite series, mathematical techniques, advancements in mathematics

"Research Significance of Infinite series", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 3, page no.i378-i385, March-2023, Available :http://www.jetir.org/papers/JETIR2303855.pdf

"Research Significance of Infinite series", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 3, page no. ppi378-i385, March-2023, Available at : http://www.jetir.org/papers/JETIR2303855.pdf