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

Applicare la formula: $\lim_{x\to c}\left(a\right)$=indeterminate, dove $a=x^{\left(\frac{1}{2}-\sin\left(x\right)\right)}$, $c=\infty $ e $x->c=x\to\infty $