Hasil $\lim \limits_{x \to \infty}{\frac {-2x^{2}-3x+2}{6x^{2}+x-3}}=... $
A. $-\frac{1}{6} $
B. $-\frac{1}{3} $
C. $- \frac {1}{2} $
D. $\frac {1}{3} $
E. $\frac {1}{6} $
Pembahasan
$\lim \limits_{x \to \infty}{\frac {-2x^{2}-3x+2}{6x^{2}+x-3}}$
$=\lim \limits_{x \to \infty}{\frac {\frac{-2x^{2}}{x^{2}}-\frac{3x}{x^{2}}+\frac {2}{x^{2}}} {\frac {6x^{2}}{{x^{2}}}+\frac{x}{x^{2}}-\frac{3}{x^{2}}}}$
$=\lim \limits_{x\to \infty}{\frac {-2-0+0}{6+0-0}}=\frac{-2}{6}=-\frac {1}{3} $
Kesimpulan
Jadi, nilai dari $\lim \limits_{x \to \infty}{\frac {-2x^{2}-3x+2}{6x^{2}+x-3}}$ adalah $-\frac{1}{3} $
Muda Berkarya Intelektual Normatif