# §6.8 Inequalities

In this section $x>0$.

 6.8.1 $\frac{1}{2}\mathop{\ln\/}\nolimits\!\left(1+\frac{2}{x}\right) Symbols: $\mathrm{e}$: base of exponential function, $\mathop{E_{1}\/}\nolimits\!\left(\NVar{z}\right)$: exponential integral, $\mathop{\ln\/}\nolimits\NVar{z}$: principal branch of logarithm function and $x$: real variable A&S Ref: 5.1.20 Referenced by: §6.8 Permalink: http://dlmf.nist.gov/6.8.E1 Encodings: TeX, pMML, png See also: Annotations for 6.8
 6.8.2 $\frac{x}{x+1} Symbols: $\mathrm{e}$: base of exponential function, $\mathop{E_{1}\/}\nolimits\!\left(\NVar{z}\right)$: exponential integral and $x$: real variable Referenced by: §6.8 Permalink: http://dlmf.nist.gov/6.8.E2 Encodings: TeX, pMML, png See also: Annotations for 6.8
 6.8.3 $\frac{x(x+3)}{x^{2}+4x+2} Symbols: $\mathrm{e}$: base of exponential function, $\mathop{E_{1}\/}\nolimits\!\left(\NVar{z}\right)$: exponential integral and $x$: real variable Referenced by: §6.8 Permalink: http://dlmf.nist.gov/6.8.E3 Encodings: TeX, pMML, png See also: Annotations for 6.8