Research Paper Abel and Dirichlet Tests for Convergence of Series

The major focus of this study is to research the convergence of infinite series with Abel’s and Dirichlet's tests. These two simple tests offer tools to check for the convergence of some types of series, especially in cases when the terms have a specific pattern such as alternating terms or bounded monotonicity. The study introduces the formulation and application of both the wests, before it pros, cons and applications are compared. Also, the role of both tests is surveyed in the wider prize of series convergence. Besides, practical examples are examined to point out their strengths and weaknesses in different cases.