lim x → ∞ √4x^2-6x+7 - 2x-1
Matematika
miamelinda1
Pertanyaan
lim x → ∞ √4x^2-6x+7 - 2x-1
1 Jawaban
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1. Jawaban Robinn
Lim √4x² - 6x + 7 - 2x - 1
x→∞
Lim (√4x² - 6x + 7 - (2x + 1)
x→∞
Lim 4x² - 6x + 7 - (2x + 1)²
x→∞ .. / √4x² - 6x + 7 + (2x + 1)
Lim 4x² - 6x + 7 - (4x² + 4x + 1)
x→∞ .. / √4x² - 6x + 7 + (2x + 1)
Lim 4x² - 6x + 7 - 4x² - 4x + 1
x→∞ .. / √4x² - 6x + 7 + (2x + 1)
Lim (-10x + 8)
x→∞ .. / √x²(4 - 6/x + 7/x²) + x(2 + 1/x)
Lim x (-10 + 8/x)
x→∞ .. / (x√4 - 6/x + 7/x²) + x(2 + 1/x)
Lim (-10 + 8/x)
x→∞ .. / √4 - 6/x + 7/x² + (2 + 1/x)
= -10 + 0 / √4 - 0 + 0 + (2 + 0)
= -10 / √4 + 2
= -10 / 2 + 2
= -10 / 4
= -5/2