Keyword: «he convergence of the series higher mathematics; competence»

The ability to solve research character problems is one of the foundations of governmental competences of the modern engineer. Discussion the ideas of solving applied tasks at mathematics classes enhances the professional competence of future engineers. The paper considers the problem of pursuit in a limited area, which can be used in the study of mathematics at technical university. When solving problems the basic properties of numerical series are used. Consideration of such problems in practical classes helps students more easily understand complex theoretical material.