%0 Journal Article
%T ON THE SPEED OF CONVERGENCE OF THE SEQUENCES
%A ANDREI VERNESCU
%J Journal of Science and Arts
%D 2013
%I Bibliotheca Publishing House
%X The study of any nontrivial convergence of a sequence of real numbers conducts to the problem of finding the limit but also to the problem of the speed of this convergence. This speed of convergence is characterized by the first iterated limit (that supposes the existence of a function of natural variable that tends to zero for n tending to infinity, a function that appears as the first term of a sequences of such functions). A significant characterization of the first iterated limit may be given by a two sided estimate, from which the first iterated limit results immediately.
%K Sequences
%K series
%K the constant of Napier
%K the harmonic sum
%K the constant of Euler
%K two sided estimate
%K iterated limits
%K asymptotic equivalence.
%U http://www.icstm.ro/DOCS/josa/josa_2013_1/a_06_Vernescu_Andrei.pdf