Pertanyaan

Nilai x → 4 lim x + x − 6 4 x 2 − 64 adalah ....

Nilai $x \to 4 lim \frac{4 x ^{2} - 64}{x + x - 6}$ adalah ....

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Habis dalam

Klaim

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Dengan menggunakan metode L'hospital. Jadi, jawaban yang tepat adalah A.

Dengan menggunakan metode L'hospital.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator 4 x squared minus 64 over denominator x plus square root of x minus 6 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator 4 x squared minus 64 over denominator x plus x to the power of begin display style 1 half end style end exponent minus 6 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 8 x minus 0 over denominator 1 plus begin display style 1 half end style x to the power of begin display style negative 1 half end style end exponent minus 0 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 8 x over denominator 1 plus fraction numerator 1 over denominator 2 square root of x end fraction end fraction end cell row blank equals cell fraction numerator 8 times 4 over denominator 1 plus fraction numerator 1 over denominator 2 square root of 4 end fraction end fraction end cell row blank equals cell fraction numerator 32 over denominator 1 plus begin display style 1 fourth end style end fraction end cell row blank equals cell fraction numerator 32 over denominator begin display style 5 over 4 end style end fraction end cell row blank equals cell 32 divided by 5 over 4 end cell row blank equals cell 32 cross times 4 over 5 end cell row blank equals cell 128 over 5 end cell end table end style$

Jadi, jawaban yang tepat adalah A.