ON THE CHOICE OF SIGNS OF CONVERGENCE OF POSITIVE NUMERICAL SERIES WHEN SOLVING PROBLEMS

Abstract

The objective of the article is to develop recommendations that would allow students to choose the appropriate sign of convergence of positive series depending on the task at hand. The main task is to review the key theoretical aspects that are related to the study of positive series on convergence, as well as to study the criteria that can be used to make a choice between the signs of convergence of series. The article demonstrates the methods of investigating the convergence of positive numerical series and gives a visual scheme of their investigation. On practical examples the importance of choosing the appropriate sign is shown. The recommendations given in the work are of great value for students when studying the topic “Positive Numerical Series”. In order to be able to investigate a series for convergence, it is necessary to correctly determine the type of series, to be well oriented in the basic properties of series and correctly select the appropriate sign of convergence. Scientific novelty is the development of recommendations for students to better study and master the topic “Positive number series”.