English

On an infinite series for $(1+1/x)^x$

Classical Analysis and ODEs 2014-07-01 v1

Abstract

The aim of this paper is to construct a new expansion of (1+1/x)x(1+1/x)^x related to Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659].

Keywords

Cite

@article{arxiv.1406.7814,
  title  = {On an infinite series for $(1+1/x)^x$},
  author = {Cristinel Mortici and Yue Hu},
  journal= {arXiv preprint arXiv:1406.7814},
  year   = {2014}
}