Impara online a risolvere i problemi di passo dopo passo. (x)->(infinito)lim((x^3+1)^(1/3)-1). Applicare la formula: a+b=\left(\sqrt[3]{a}+\sqrt[3]{\left|b\right|}\right)\left(\sqrt[3]{a^{2}}-\sqrt[3]{a}\sqrt[3]{\left|b\right|}+\sqrt[3]{\left|b\right|^{2}}\right), dove a=x^3 e b=1. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\frac{conjugate\left(numerator\left(a\right)\right)}{conjugate\left(numerator\left(a\right)\right)}\right), dove a=\sqrt[3]{x+1}\sqrt[3]{x^{2}-x+1}-1 e c=\infty . Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\right), dove a=\left(\sqrt[3]{x+1}\sqrt[3]{x^{2}-x+1}-1\right)\frac{\sqrt[3]{x+1}\sqrt[3]{x^{2}-x+1}+1}{\sqrt[3]{x+1}\sqrt[3]{x^{2}-x+1}+1} e c=\infty .

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