Jika lim x mendekati a f(x)=-2, lim x mendekati a g(x)=4

Jika $\underset{x\to a}{lim}f(x)=-2,\underset{x\to a}{lim}g(x)=4$, dan $\underset{x\to a}{lim}h(x)=13$, nilai $\underset{x\to a}{lim}\frac{5f(x)-(g(x){)}^2}{h(x)}=\dots$

A. 2

B. 1

C. -1

D. -2

E. -4

Penyelesaian

Diketahui:

$\underset{x\to a}{lim}f(x)=-2$

$\underset{x\to x}{lim}g(x)=4$

$\underset{x\to a}{lim}h(x)=13$

Ditanya:

$\underset{x\to a}{lim}\frac{5f(x)-(g(x){)}^2}{h(x)}=?$

Jawab

$\underset{x\to a}{lim}\frac{5f(x)-(g(x){)}^2}{h(x)}=\frac{5(-2)-(4{)}^2}{13}$

$=\frac{-10-16}{13}$

$=\frac{-26}{13}=-2$

Jawaban : D

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif