Applicare la formula: $\lim_{x\to c}\left(a^b\right)$$=\lim_{x\to c}\left(e^{b\ln\left(a\right)}\right)$, dove $a=\frac{3x^2+5}{x^2+1}$, $b=\frac{x+1}{2x}$ e $c=\infty $

Applicare la formula: $a\frac{b}{c}$$=\frac{ba}{c}$, dove $a=\ln\left(\frac{3x^2+5}{x^2+1}\right)$, $b=x+1$ e $c=2x$

Applicare la formula: $\lim_{x\to c}\left(a^b\right)$$={\left(\lim_{x\to c}\left(a\right)\right)}^{\lim_{x\to c}\left(b\right)}$, dove $a=e$, $b=\frac{\left(x+1\right)\ln\left(\frac{3x^2+5}{x^2+1}\right)}{2x}$ e $c=\infty $

Applicare la formula: $\lim_{x\to c}\left(a\right)$$=a$, dove $a=e$ e $c=\infty $