Impara online a risolvere i problemi di limiti per sostituzione diretta passo dopo passo. (x)->(0)lim((x^(1/2))/((x+3)^(1/2)-*3^(1/2))). Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{a}{b}\frac{conjugate\left(b\right)}{conjugate\left(b\right)}\right), dove a=\sqrt{x}, b=\sqrt{x+3}-\sqrt{3} e c=0. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=\sqrt{x}, b=\sqrt{x+3}-\sqrt{3}, c=\sqrt{x+3}+\sqrt{3}, a/b=\frac{\sqrt{x}}{\sqrt{x+3}-\sqrt{3}}, f=\sqrt{x+3}+\sqrt{3}, c/f=\frac{\sqrt{x+3}+\sqrt{3}}{\sqrt{x+3}+\sqrt{3}} e a/bc/f=\frac{\sqrt{x}}{\sqrt{x+3}-\sqrt{3}}\frac{\sqrt{x+3}+\sqrt{3}}{\sqrt{x+3}+\sqrt{3}}. Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=\sqrt{x+3}, b=\sqrt{3}, c=-\sqrt{3}, a+c=\sqrt{x+3}+\sqrt{3} e a+b=\sqrt{x+3}-\sqrt{3}. Applicare la formula: a+b=a+b, dove a=3, b=-3 e a+b=x+3-3.

(x)->(0)lim((x^(1/2))/((x+3)^(1/2)-*3^(1/2)))