Koliko je vrednost spodnjega izraza?
![\[\sqrt{x \sqrt[3]{x\sqrt[4]{x...}}}\]](http://vincenc.petruna.com/wp-content/ql-cache/quicklatex.com-f924dbf384beba8fbff7ad0f2ed3b39c_l3.png "Rendered by QuickLaTeX.com")
Vgnezdeni koreni (2)
Odgovori
Vincenc Petruna, Slovenija
Scientia potentia est.
Koliko je vrednost spodnjega izraza?
, 
in 
![\[{\sqrt{5+\sqrt{5}\over 2}-\phi} = \cfrac{e^{-\frac{2\pi}{5}}}{1 + \cfrac{e^{-2\pi}}{1 + \cfrac{e^{-4\pi}}{1 + \cfrac{e^{-6\pi}} {1 + \cfrac{e^{-8\pi}} {1+\ddots}}}}}\]](http://vincenc.petruna.com/wp-content/ql-cache/quicklatex.com-efe784fded7b7651f4ad7186908982fa_l3.png "Rendered by QuickLaTeX.com")