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Question Number 51981 by maxmathsup by imad last updated on 01/Jan/19
![let U_n = ((Σ_(k=1) ^n [lnk])/(ln(n!))) determine lim_(n→+∞) U_n](Q51981.png)
$${let}\:\:{U}_{{n}} =\:\frac{\sum_{{k}=\mathrm{1}} ^{{n}} \left[{lnk}\right]}{{ln}\left({n}!\right)}\:\:{determine}\:{lim}_{{n}\rightarrow+\infty} \:{U}_{{n}} \\ $$