Does [math]1+\left(\frac{1}{n}\right)^{n}[/math] create the existence of symmetrical limits since [math]\sqrt[n]{\frac{e}{\left[\frac{1+\left(\frac{1}{n}^{n}}{n^{n}}\right]}=n+1[/math] as [math]n>1[/math] goes to infinity?
valid question