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A Two-Sided Estimate Of $\mathrm{e}^x-( 1+\frac{x}{n})^n$  
 
  Authors: Constantin P. Niculescu, Andrei Vernescu,  
  Keywords: Inequalities, Two-sided estimates, Exponential function, Means.  
  Date Received: 23/03/04  
  Date Accepted: 01/04/04  
  Subject Codes:

Primary 26D15; Secondary 26A06, 26A48

  
  Editors: Lars-Erik Persson,  
 
  Abstract:

In this paper we refine an old inequality of G. N. Watson related to the formula $ mathrm{e}^{x}=mathrm{lim_{nrightarrowinfty}}left( 1+frac {x}{% n}right) ^{n}$. ;


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