Impara online a risolvere i problemi di calcolo integrale passo dopo passo. (x)->(infinito)lim((x^(1/3)-1)/(x^(1/4)-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=\sqrt[3]{x}-1, b=\sqrt[4]{x}-1, c=\infty , a/b=\frac{\sqrt[3]{x}-1}{\sqrt[4]{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{\sqrt[3]{x}-1}{\sqrt[4]{x}}, b=\frac{\sqrt[4]{x}-1}{\sqrt[4]{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=\sqrt[4]{\frac{x}{\left(\sqrt[3]{x}-1\right)^{4}}}, b=\sqrt[4]{\frac{x}{\left(\sqrt[4]{x}-1\right)^{4}}} e c=\infty . Applicare la formula: \frac{\frac{a}{b}}{\frac{c}{f}}=\frac{af}{bc}, dove a=x, b=\left(\sqrt[3]{x}-1\right)^{4}, a/b/c/f=\frac{\frac{x}{\left(\sqrt[3]{x}-1\right)^{4}}}{\frac{x}{\left(\sqrt[4]{x}-1\right)^{4}}}, c=x, a/b=\frac{x}{\left(\sqrt[3]{x}-1\right)^{4}}, f=\left(\sqrt[4]{x}-1\right)^{4} e c/f=\frac{x}{\left(\sqrt[4]{x}-1\right)^{4}}.

(x)->(infinito)lim((x^(1/3)-1)/(x^(1/4)-1))