Impara online a risolvere i problemi di equazioni logaritmiche passo dopo passo. (x)->(infinito)lim((3^(1+1/x)-1)/(3^(1/x)-1)). Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{\frac{a}{sign\left(c\right)fgrow\left(b\right)}}{\frac{b}{sign\left(c\right)fgrow\left(b\right)}}\right), dove a=3^{\left(1+\frac{1}{x}\right)}-1, b=3^{\frac{1}{x}}-1, c=\infty , a/b=\frac{3^{\left(1+\frac{1}{x}\right)}-1}{3^{\frac{1}{x}}-1} e x->c=x\to\infty . Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{radicalfrac\left(a\right)}{radicalfrac\left(b\right)}\right), dove a=\frac{3^{\left(1+\frac{1}{x}\right)}-1}{3^{\frac{1}{x}}}, b=\frac{3^{\frac{1}{x}}-1}{3^{\frac{1}{x}}} e c=\infty . Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{splitfrac\left(a\right)}{splitfrac\left(b\right)}\right), dove a=\frac{3^{\left(1+\frac{1}{x}\right)}-1}{3^{\frac{1}{x}}}, b=\frac{3^{\frac{1}{x}}-1}{3^{\frac{1}{x}}} e c=\infty . Applicare la formula: \frac{a}{a}=1, dove a=3^{\frac{1}{x}} e a/a=\frac{3^{\frac{1}{x}}}{3^{\frac{1}{x}}}.

(x)->(infinito)lim((3^(1+1/x)-1)/(3^(1/x)-1))