Applicare la formula: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, dove $a=1$, $b=\sqrt{x}$ e $n=\frac{1}{2}$

Simplify $\sqrt{\sqrt{x}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $\frac{1}{2}$

Applicare la formula: $\left(\frac{a}{b}\right)^n$$=\frac{a^n}{b^n}$, dove $a=1$, $b=2$ e $n=2$

Valutare il limite $\lim_{x\to\infty }\left(\frac{1}{\sqrt{1+\frac{1}{\sqrt[4]{x}}}}\right)$ sostituendo tutte le occorrenze di $x$ con $\infty $