Abye TensaeMufti AhmedSebona Morka2024-04-022024-04-022023-05This project contains a detailed and through explanation of the concept of power series and its application. The concept of power series is discussed with deep insight by providing suitable remarks, examples and counter example at appropriate places. Radius of convergence of power series, Differentiation and integration of power series and application of taylor polynomial have been thoroughly discussed.enThesis