ON THE MONOTONY OF (1+1/n)^n+0.5 AND AN APPLICATION
Journal Title: Journal of Science And Arts - Year 2013, Vol 24, Issue 3
Abstract
In this paper we expose two different proofs for the fact that the sequence of general term (1+1/n^)n+0.5which convergesto the celebrated constant of Napier also called the number of Euler, the number e, is strictly decreasing. The one of the proofs shows the possibility of work without to use the differential calculus, the other is probably the most natural. We recall the situation of the monotony in the general case of (1+1/n)^n+p, we point out the order of convergence of (1+/n)^n+0.5 and we show how the monotony of the considered sequence can be used to obtain the shortest proof of the weak form of Stirling’s formul.
Authors and Affiliations
ANDREI VERNESCU
Keywords
Related Articles
- EP ID EP104254
- DOI -
- Views 233
- Downloads 0
QUANTUM TUNNELLING AND MAGNETIZATION DYNAMICS IN LOW DIMENSIONAL SYSTEMS
Quantum mechanics allows a system to overcome a classically-unsurmountable energy barrier through a mechanism called Quantum Tunnelling (QT). Although pertaining to the quantum domain, QT is the cause of important physic...
ON THE MAGNETORESISTANCE OF COBALT BASED MAGNETORESISTIVE STRUCTURES
We characterize Co-based metallic multilayers by an exponential model of response of magnetoresistance to applied magnetic field. The magnetic coefficient (k) is found to be dependent on interface roughness and is (tesla...
THE XVII-TH CENTURY’S THIXOTROPIC PAINTING MEDIUM<br /> II.THE OLD FLEMISH SCHOOL GELS AND THEIR RECONSTRUCTION FALLOWING RUBENS AND VAN DYCK’S RECIPES<br />
At the beginning of the XVII century, in Europe was born a new, exuberant, aristocratic style that served the Catholic Church interests, being manifested through a special dynamic- Baroque. This new vision spreads from I...
THE POSITION VECTOR OF A POINT EXERCISES
The vectorial method is is applicable for studying a large class of properties of the euclidian space (coliniariy, coplanarity, parallelism, perpendicularity, calculation of angles, distances, volumes etc).
ASSESSING OF THE RESEARCH OUTPUT USING HIRSCH INDEX IN THE CHEMISTRY GROUP FROM VALAHIA UNIVERSITY OF TARGOVISTE
The evaluation of the scientific activity of individual and institutional research outputs has long attracted significant interest. The scientific performances of the Faculty of Sciences and Arts in the Valahia Universit...