Nilai lim x mendekati 0 (2x^3+8x^2-15x)/(x^2-3)

Nilai $\underset{x\to 0}{lim}\frac{2x^3+8x^2-15x}{x^2-3x}=\dots$

A. -5

B. -3

C. -1

D. 3

E. 5

Penyelesaian

$\underset{x\to 0}{lim}\frac{2x^3+8x^2-15x}{x^2-3x}$

$=\underset{x\to 0}{lim}\frac{x(2x^2+8x-15)}{x(x-3)}$

$=\underset{x\to 0}{lim}\frac{2x^2+8x-15}{x-3}=\frac{2(0{)}^2+8(0)-15}{0-3}=\frac{-15}{-3}=5$

Jawaban : E

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif