Nilai $\lim\limits_{x\to \infty}\frac{3x^3-2x-10}{4x-2x^2-5x^3}=\dots$

Nilai

lim_{x \to \infty} \frac{3 x^{3} - 2 x - 10}{4 x - 2 x^{2} - 5 x^{3}} = \dots

Nilai $lim_{x \to \infty} \frac{3 x^{3} - 2 x - 10}{4 x - 2 x^{2} - 5 x^{3}} = \dots$

A. $- \frac{3}{5}$

B. $- \frac{3}{4}$

C. $0$

D. $\frac{3}{5}$

E. $\frac{3}{4}$

Penyelesaian

$lim_{x \to \infty} \frac{3 x^{3} - 2 x - 10}{4 x - 2 x^{2} - 5 x^{3}}$

$= lim_{x \to \infty} \frac{\frac{3 x^{3}}{x^{3}} - \frac{2 x}{x^{3}} - \frac{10}{x^{3}}}{\frac{4 x}{x^{3}} - \frac{2 x^{2}}{x^{3}} - \frac{5 x^{3}}{x^{3}}}$

$= \frac{3 - 0 - 0}{0 - 0 - 5}$

$= \frac{3}{- 5}$

$= - \frac{3}{5}$

Kesimpulan

Jadi nilai $lim_{x \to \infty} \frac{3 x^{3} - 2 x - 10}{4 x - 2 x^{2} - 5 x^{3}} = - \frac{3}{5}$

Jawaban: A

        
          Muda Berkarya Intelektual Normatif

            Muda Berkarya Intelektual Normatif

MBIN

Nilai limx→∞3x3−2x−104x−2x2−5x3=…

Baca Juga

Nilai $lim_{x \to \infty} \frac{3 x^{3} - 2 x - 10}{4 x - 2 x^{2} - 5 x^{3}} = \dots$