Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit

Branko Malesevic, Yue Hu, Cristinel Mortici

In this paper, using the Maclaurin series of the functions $(1+x{)}^{1/x}$, some inequalities from papers Bicheng Debnath [1998] and Mortici Jang [2015] are generalized. For arbitrar…