Lim x => 4, Mohon bantuannya!!!
Matematika
Melisa00
Pertanyaan
Lim x => 4, Mohon bantuannya!!!
1 Jawaban
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1. Jawaban arsetpopeye
Lim (x^2 - 2x - 8)/(3 - √(x^2 - 7))
= Lim (x^2 - 2x - 8)/(3 - √(x^2 - 7)) . (3 + √(x^2 - 7))/(3 + √(x^2 - 7))
= Lim (x^2 - 2x - 8)(3 + √(x^2 - 7)) / (9 - (x^2 - 7))
= Lim (x^2 - 2x - 8)(3 + √(x^2 - 7)) / (16 - x^2)
= Lim (x - 4)(x + 2)(3 + √(x^2 - 7)) / (4 + x)(4 - x)
= Lim -(4 - x)(x + 2)(3 + √(x^2 - 7)) / (4 + x)(4 - x)
= Lim -(x + 2)(3 + √(x^2 - 7)) / (4 + x)
= -(4 + 2)(3 + √(4^2 - 7)) / (4 + 4)
= -6(3 + √(16 - 7)) / 8
= -6(3 + √9) / 8
= -6(6) / 8
= -9/2
= -4 1/2
= -4,5