Pertanyaan

Nilai x → ∞ lim x 3 + a 3 x 2 + a 2 adalah....

Nilai $x \to \infty lim \frac{x ^{2} + a ^{2}}{x ^{3} + a ^{3}}$ adalah....

0
1
a
1 + a

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of fraction numerator x squared plus a squared over denominator x cubed plus a cubed end fraction times open parentheses fraction numerator begin display style 1 over x cubed end style over denominator begin display style 1 over x cubed end style end fraction close parentheses equals limit as x rightwards arrow infinity of fraction numerator begin display style x squared over x cubed plus a squared over x cubed end style over denominator begin display style x cubed over x cubed plus a cubed over x cubed end style end fraction equals fraction numerator 0 plus 0 over denominator 1 plus 0 end fraction equals 0$