lim x→3 9-x^2/2√x^2+3-4√3
Matematika
luthfiannisaaa
Pertanyaan
lim x→3 9-x^2/2√x^2+3-4√3
1 Jawaban
-
1. Jawaban whongaliem
limit (9 - x²) /{ 2√(x² + 3) - 4√3}
x⇒3
= limit (9 - x²){2√(x² + 3) + 4√3} / {2√(x² + 3) - 4√3} {2√(x² + 3) + 4√3}
x⇒3
= limit (9 - x²) {2√(x² + 3) + 4√3} / 4(x² + 3) - 16 .3}
x⇒3
= limit (9 - x²) {2√(x² + 3) + 4√3} / (4x² + 12 - 48)
x⇒3
= limit (9 - x²) {2√(x² + 3) + 4√3} / (4x² - 36)
x⇒3
= limit (9 - x²) {2√(x² + 3) + 4√3} / {4 (x² - 9)}
x⇒0
= limit { 2√(x² + 3) + 4√3 } / 4
x⇒3
= {2√(3² + 3) + 4√3} / 4
= (2√12 + 4√3) / 4
= {4√3 + 4√3) / 4
= 8√3 / 4
= 2√3