Impara online a risolvere i problemi di passo dopo passo. (x)->(1)lim(((x^2+1/2x+-1)^(1/2)-(x^3+1/2x+-1)^(1/2))/(x-1)). Applicare la formula: a\frac{b}{c}=\frac{ba}{c}, dove a=x, b=1 e c=2. Applicare la formula: a\frac{b}{c}=\frac{ba}{c}, dove a=x, b=1 e c=2. 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=\frac{\sqrt{x^2+\frac{x}{2}-1}-\sqrt{x^3+\frac{x}{2}-1}}{x-1} e c=1. Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\right), dove a=\frac{\sqrt{x^2+\frac{x}{2}-1}-\sqrt{x^3+\frac{x}{2}-1}}{x-1}\frac{\sqrt{x^2+\frac{x}{2}-1}+\sqrt{x^3+\frac{x}{2}-1}}{\sqrt{x^2+\frac{x}{2}-1}+\sqrt{x^3+\frac{x}{2}-1}} e c=1.

(x)->(1)lim(((x^2+1/2x+-1)^(1/2)-(x^3+1/2x+-1)^(1/2))/(x-1))