Nilai lim x mendekati ∞ (2x^4+3x^2-5x+7)/(6x^4-5x^3+2x-1)

Nilai $\underset{x\to \mathrm{\infty }}{lim}\frac{2x^4+3x^2-5x+7}{6x^4-5x^3+2x-1}=\dots$

A. 3

B. 2

C. $\frac{1}{3}$

D. $\frac{1}{2}$

E. $\frac{1}{6}$

Penyelesaian

$\underset{x\to \mathrm{\infty }}{lim}\frac{2x^4+3x^2-5x+7}{6x^4-5x^3+2x-1}$

$=\underset{x\to \mathrm{\infty }}{lim}\frac{\frac{2x^4}{x^4}+\frac{3x^2}{x^4}-\frac{5x}{x^4}+\frac{7}{x^4}}{\frac{6x^4}{x^4}-\frac{5x^3}{x^4}+\frac{2x}{x^4}-\frac{1}{x^4}}$

$=\underset{x\to \mathrm{\infty }}{lim}\frac{2+0-0+0}{6-0+0-0}=\frac{2}{6}=\frac{1}{3}$

Jawaban : C

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif