August 14, 2025Open Access

Study on Infinite Series and Convergence of Series in Real Analysis

Key Points

Convergence of infinite series was demonstrated through various examples and foundational properties of series were discussed, enhancing understanding.
Key techniques for assessing series include the p-series test, comparison test, and root test, providing structured approaches for analysis.
The study employed detailed examples to illustrate the characteristics of infinite series, notably simplifying complex concepts for clearer comprehension.
Implications suggest that mastering these convergence methods is essential for advanced study in mathematical analysis and related fields.

Abstract

In this paper, we studied about the Infinite Series and Convergence of Series. Discussed the convergence of series through examples and explained some basic properties of Infinite series. Also studied about Geometric Series, Auxiliary Series (or) p – Series Test, Comparison Test & Root Test to examine the character of the given series through examples.

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Cite This Study

Bhusireddy Swaroopa (Thu,) studied this question.

synapsesocial.com/papers/68af509bad7bf08b1ead8762 https://doi.org/https://doi.org/10.36948/ijfmr.2025.v07i04.53637