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

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

A. -5

B. -3

C. -1

D. 3

E. 5

Penyelesaian

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

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

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

Jawaban : E

Muda Berkarya Intelektual Normatif