Question Number 159690 by 0731619 last updated on 20/Nov/21
Answered by MJS_new last updated on 21/Nov/21
$$\mathrm{very}\:\mathrm{obviously}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{is}\:+\infty \\ $$$$\mathrm{check}\:\mathrm{for}\:{x}=\mathrm{5} \\ $$$$\frac{\mathrm{5}^{\mathrm{5}!} }{\left(\mathrm{5}!\right)^{\mathrm{5}} }=\frac{\mathrm{5}^{\mathrm{120}} }{\mathrm{120}^{\mathrm{5}} }=\frac{\approx\mathrm{10}^{\mathrm{84}} }{\approx\mathrm{10}^{\mathrm{10}} } \\ $$