Pertanyaan

Nilai x → ∞ lim 3 x 6 − 2 x 3 + 8 − 6 x 6 + 3 x 2 + 7 = …

Nilai $x \to \infty lim \frac{- 6 x ^{6} + 3 x ^{2} + 7}{3 x ^{6} - 2 x ^{3} + 8} = \dots$

2
1
-1
-2
-3

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$space limit as x rightwards arrow infinity of space fraction numerator negative 6 x to the power of 6 plus 3 x squared plus 7 over denominator 3 x to the power of 6 minus 2 x cubed plus 8 end fraction equals space limit as x rightwards arrow infinity of space fraction numerator begin display style fraction numerator negative 6 x to the power of 6 over denominator x to the power of 6 end fraction end style plus begin display style fraction numerator 3 x squared over denominator x to the power of 6 end fraction end style plus begin display style 7 over x to the power of 6 end style over denominator begin display style 3 over x to the power of 6 end style minus begin display style fraction numerator 2 x cubed over denominator x to the power of 6 end fraction end style plus begin display style 8 over x to the power of 6 end style end fraction equals space limit as x rightwards arrow infinity of space fraction numerator negative 6 plus begin display style 3 over x to the power of 4 end style plus begin display style 7 over x to the power of 6 end style over denominator 3 minus 0 plus 0 plus 0 end fraction equals fraction numerator negative 6 over denominator 3 end fraction equals negative 2$