limx→∞(x2+x−x2−3x+1)=…

$\underset{x\to \mathrm{\infty }}{lim}(\sqrt{x^2+x}-\sqrt{x^2-3x+1})=\dots$

A. $0$

B. $1$

C. $2$

D. $-2$

E. $\mathrm{\infty }$

Penyelesaian

PERINGATAN!!

$\underset{x\to \mathrm{\infty }}{lim}(\sqrt{a{x}^2+bx+c}-\sqrt{a{x}^2+qx+c})$ maka dapat diseleaikan dengan $\frac{b-q}{2\sqrt{a}}$

Jawaban

$\underset{x\to \mathrm{\infty }}{lim}(\sqrt{x^2+x}-\sqrt{x^2-3x+1})=\dots$

$a=1$

$b=1$

$q=-3$

$\frac{b-q}{2\sqrt{a}}$

$=\frac{1-(-3)}{2\sqrt{1}}$

$=\frac{4}{2}$

$=2$

Kesimpulan

Jadi nilai $\underset{x\to \mathrm{\infty }}{lim}(\sqrt{x^2+x}-\sqrt{x^2-3x+1})=2$

Jawaban: C

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif