Nilai lim x mendekati ∞ (√(9x^2+5x-3)-√(9x^2-7x+5))

Nilai $\underset{x\to \mathrm{\infty }}{lim}(\sqrt{9x^2+5x-3}-\sqrt{9x^2-7x+5})=\dots$

A. 0

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

C. 1

D. 2

E. 3

Penyelesaian

$\underset{x\to \mathrm{\infty }}{lim}(\sqrt{9x^2+5x-3}-\sqrt{9x^2-7x+5})$

RUMUS: $\frac{b-q}{2\sqrt{a}}$

$=\frac{6-(-7)}{2\sqrt{9}}$

$=\frac{12}{6}=2$

Jawaban : D

Muda Berkarya Intelektual Normatif

Muda Berkarya Intelektual Normatif