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

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