Pertanyaan

x → ∞ lim 16 x 2 − 8 x − 6 − 16 x 2 + 4 x − 12 = ...

$x \to \infty lim 16 x^{2} - 8 x - 6 - 16 x^{2} + 4 x - 12 = ...$

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Habis dalam

Klaim

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

.

limit as x rightwards arrow infinity of square root of 16 x squared minus 8 x minus 6 end root minus square root of 16 x squared plus 4 x minus 12 end root equals negative 3 over 2

Pembahasan

Ingat bentuk khusus berikut: pada soal diketahui Sehingga hasil limit adalah Jadi, .

Ingat bentuk khusus berikut:

$limit as x rightwards arrow infinity of square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root equals L Jika space a equals p comma space maka space L equals fraction numerator b minus q over denominator 2 square root of a end fraction$

pada soal diketahui

a equals p equals 16 b equals negative 8 q equals 4

Sehingga hasil limit adalah

$table attributes columnalign right center left columnspacing 0px end attributes row L equals cell fraction numerator b minus q over denominator 2 square root of a end fraction end cell row blank equals cell fraction numerator negative 8 minus 4 over denominator 2 square root of 16 end fraction end cell row blank equals cell fraction numerator negative 12 over denominator 8 end fraction end cell row blank equals cell negative 3 over 2 end cell end table$

Jadi, limit as x rightwards arrow infinity of square root of 16 x squared minus 8 x minus 6 end root minus square root of 16 x squared plus 4 x minus 12 end root equals negative 3 over 2 .