Pertanyaan

Nilai dari x → ∞ lim 4 x 3 + 12 x 2 + 15 x + 9 32 x 3 + 14 x 2 + 13 x + 7 adalah...

Nilai dari $x \to \infty lim \frac{32 x ^{3} + 14 x ^{2} + 13 x + 7}{4 x ^{3} + 12 x ^{2} + 15 x + 9}$ adalah...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Jadi, jawaban yang benar adalah A.

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 32 x cubed plus 14 x squared plus 13 x plus 7 over denominator 4 x cubed plus 12 x squared plus 15 x plus 9 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 32 x cubed over denominator x cubed end fraction end style plus begin display style fraction numerator 14 x squared over denominator x cubed end fraction end style plus begin display style fraction numerator 13 x over denominator x cubed end fraction end style plus begin display style 7 over x cubed end style over denominator begin display style fraction numerator 4 x cubed over denominator x cubed end fraction end style plus begin display style fraction numerator 12 x squared over denominator x cubed end fraction end style plus begin display style fraction numerator 15 x over denominator x cubed end fraction end style plus begin display style 9 over x cubed end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 32 plus 14 over x plus 13 over x squared plus 7 over x cubed end style over denominator begin display style 4 plus 12 over x plus 15 over x squared plus 9 over x cubed end style end fraction end cell row blank equals cell fraction numerator 32 plus 0 plus 0 plus 0 over denominator 4 plus 0 plus 0 plus 0 end fraction end cell row blank equals cell 32 over 4 end cell row blank equals 8 row blank blank blank end table end style$

Jadi, jawaban yang benar adalah A.