Nilai Lim X mendekati tak terhingga akar 4x^2 - 3x + 7 - (2x - 3) =
Matematika
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Pertanyaan
Nilai Lim X mendekati tak terhingga akar 4x^2 - 3x + 7 - (2x - 3) =
1 Jawaban
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1. Jawaban mujahair
lim √4x²-3x+7 - (2x - 3)
x→∞
lim √4x²-3x+7-(2x - 3) × √4x²-3x+7 + (2x-3) / √4x²-3x+7 + (2x - 3)
x→ ∞
lim 4x²-3x+7-(2x - 3)² / √4x²-3x+7 + (2x - 3)
x→ ∞
lim 4x²-3x+7 -(4x²-12x+9) / √4x²-3x+7 + (2x - 3)
x→ ∞
lim 9x-2 / √4x²-3x+7 + (2x - 3)
x→∞
dibagi pangkat tertinggi = x
= 9x-2 / √4x²-3x+7 + (2x - 3)
= 9x/x -2/x / √4x²/x²- 3x/x²+ 7/x² + (2x/x - 3)
= 9 / 4+2
= 9/6
= 3/2
= 1½
= 1,5