Question Number 30487 by abdo imad last updated on 22/Feb/18
![for n≥2 let x_n = ((Σ_(k=1) ^n [lnk])/(ln(n!))) find lim_(n→∞) x_n .](https://www.tinkutara.com/question/Q30487.png)
$${for}\:{n}\geqslant\mathrm{2}\:{let}\:\:{x}_{{n}} =\:\:\frac{\sum_{{k}=\mathrm{1}} ^{{n}} \:\left[{lnk}\right]}{{ln}\left({n}!\right)}\:\:{find}\:{lim}_{{n}\rightarrow\infty} {x}_{{n}} \:\:. \\ $$