lim x--> 2 3-√x²+5/x-2 = tolong di bantu ya semua
Matematika
DenyDA
Pertanyaan
lim x--> 2 3-√x²+5/x-2 = tolong di bantu ya semua
1 Jawaban
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1. Jawaban Robinn
Lim (3 - √x² + 5) / (x - 2)
x→2
Lim (3 - √x² + 5)(3 + √x² + 5)
x→2 / (x - 2)(3 + √x² + 5)
Lim (9 - (x² + 5)) / (x - 2)(3 + √x² + 5)
x→2
Lim (9 - x² - 5) / (x - 2)(3 + √x² + 5)
x→2
Lim (-x² + 4) / (x - 2)(3 + √x² + 5)
x→2
Lim - (x² - 4) / (x - 2)(3 + √x² + 5)
x→2
Lim - (x - 2)(x + 2) / (x - 2)(3 + √x² + 5)
x→2
Lim - (x + 2) / (3 + √x² + 5)
x→2
= - (2 + 2) / (3 + √2² + 5)
= -4 / (3 + √4 + 5)
= -4 / (3 + √9)
= -4 / 3 + 3
= -4/6
= -2/3