Determining $\underset{n\to \mathrm{\infty}}{lim}{({n}^{{\textstyle \frac{1}{n}}}-1)}^{n}$ with only elementary math

I am trying to find this limit:

$\underset{n\to \mathrm{\infty}}{lim}{({n}^{{\textstyle \frac{1}{n}}}-1)}^{n},$

I tried using exponential function, but I see no way at the moment. I am not allowed to use any kind of differentiation or other topics of advanced math, only induction and school math are possible. Thank you

I am trying to find this limit:

$\underset{n\to \mathrm{\infty}}{lim}{({n}^{{\textstyle \frac{1}{n}}}-1)}^{n},$

I tried using exponential function, but I see no way at the moment. I am not allowed to use any kind of differentiation or other topics of advanced math, only induction and school math are possible. Thank you