nilai lim mendekati 2 dari x²+x-6/1-√(x²-3)
Matematika
FauzanKundakaraa
Pertanyaan
nilai lim mendekati 2 dari x²+x-6/1-√(x²-3)
1 Jawaban
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1. Jawaban 4LL
Lim (x²+x-6)(1+√x²-3) / (1-√x²-3)(1+√x²-3)
x→2
Lim (x-2)(x+3)(1+√x²-3) / (1 - (x²-3)
x→2
Lim (x-2)(x+3)(1+√x²-3) / (4 - x²)
x→2
Lim (x-2)(x+3)(1+√x²-3) / (2-x)(2+x)
x→2
Lim(x-2)(x+3)(1+√x²-3) / -(x-2)(2+x)
x→2
= (2+3)(1+√2²-3) / -(2+2)
= (5) (1+√1) / (-4)
= (5) (2) / (-4)
= - 10/4
= - 5/2
Semoga berguna +_+