Nilai lim x→-2 3x^2 + 10x + 8 / x^3 + 3x^2 + x - 2 = ... A. 4 B. 2 C. 0 D. -2 E. -4
Matematika
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Pertanyaan
Nilai lim x→-2 3x^2 + 10x + 8 / x^3 + 3x^2 + x - 2 = ...
A. 4
B. 2
C. 0
D. -2
E. -4
A. 4
B. 2
C. 0
D. -2
E. -4
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
Lim (3x² + 10x + 8) / (x³ + 3x² + x - 2)
x→ -2
= (3 . (-2)² + 10 . (-2) + 8)/((-2)³ + 3 . (-2)² + (-2) - 2)
= (12 - 20 + 8) / (-8 + 12 - 2 - 2)
= 0 / 0
Lim (3x² + 10x + 8) / (x³ + 3x² + x - 2) = Lim (6x + 10) / (3x² + 6x + 1)
x→-2 x→ -2
= (6 . (-2) + 10) / (3 . (-2)² + 6 . (-2) + 1)
= (-12 + 10) / (12 -12 + 1)
= -2/1
= -2
jawabannya D