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

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