lim mendekati terhingga x^2 (x+1)^2 per (3-x^2)^2 = .....
Matematika
eL1114
Pertanyaan
lim mendekati terhingga x^2 (x+1)^2 per (3-x^2)^2 = .....
1 Jawaban
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1. Jawaban Robinn
Lim x² (x + 1)² / (3 - x²)²
x→~
Lim x² (x² + 2x + 1) / (9 - 6x² + x^4)
x→~
Lim x^4 + 4x^3 + x² / (x^4 - 6x² + 9)
x→~
Lim x^4 (1 + 4/x + 1/x²)
x→~ .. / x^4 (1 - 6/x² + 9/x^4)
Lim 1 + 4/x + 1/x² : 1 - 6/x² + 9/x^4
x→~
= 1 + 0 + 0 / 1 - 0 + 0
= 1/1
= 1