Impara online a risolvere i problemi di limiti razionalizzando passo dopo passo. (x)->(-infinito)lim(x(x^2+1)^(1/2)-x^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=x\sqrt{x^2+1}-x^2 e c=- \infty . Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\right), dove a=\left(x\sqrt{x^2+1}-x^2\right)\frac{x\sqrt{x^2+1}+x^2}{x\sqrt{x^2+1}+x^2} e c=- \infty . Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Applicare la formula: \left(ab\right)^n=a^nb^n.

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