Pertanyaan

x → ∞ lim x 2 − 6 x + 1 x 2 − 2 = ...

$x \to \infty lim \frac{x ^{2} - 2}{x ^{2} - 6 x + 1} = ...$

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of fraction numerator x squared minus 2 over denominator x squared minus 6 x plus 1 end fraction times open parentheses fraction numerator begin display style 1 over x squared end style over denominator begin display style 1 over x squared end style end fraction close parentheses equals limit as x rightwards arrow infinity of fraction numerator begin display style x squared over x squared minus 2 over x squared end style over denominator begin display style x squared over x squared minus fraction numerator 6 x over denominator x squared end fraction plus 1 over x squared end style end fraction equals fraction numerator 1 minus 0 over denominator 1 minus 0 plus 0 end fraction equals 1$