Methodology of Teaching the Convergence of Numerical Series

Abstract

Series theory is widely used to solve integrals, differential equations, and functions. When teaching it, great attention
should be paid to explaining concepts, providing illustrative examples, applying learning methods to specific examples, and
avoiding any "lyrical digressions." The paper discusses the methodology of teaching the convergence and divergence of
numerical series. The numerical series is discussed, and several cases for determining the convergence and divergence of the
numerical series are presented. Additionally, the criteria for convergence are discussed, and several examples are provided.