2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172997In this article we construct a family of expressions $\varepsilon(n)$. For each element E(n) from $\varepsilon(n)$, the convergence of the series $\sum_{n \ge n_E}{E(n)}$ can be determined in accordance to the theorems of this article. Some applications are also presented.4 pagesGeneral Mathematics40A05Convergence of a Family of Seriestext