Question Number 74570 by Learner-123 last updated on 26/Nov/19
$${lim}_{{n}\rightarrow\infty} \frac{\mathrm{1}}{\left({n}\right)^{\frac{\mathrm{1}}{{n}}} }\:=\:? \\ $$
Answered by mind is power last updated on 26/Nov/19
$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}n}^{−\frac{\mathrm{1}}{\mathrm{n}}} =\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}e}^{−\frac{\mathrm{ln}\left(\mathrm{n}\right)}{\mathrm{n}}} =\mathrm{e}^{\mathrm{0}} =\mathrm{1} \\ $$