Pertanyaan

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

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

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of space fraction numerator open parentheses 6 plus x close parentheses open parentheses 3 minus 7 x close parentheses over denominator open parentheses 7 plus 3 x close parentheses open parentheses 2 minus x close parentheses end fraction equals limit as x rightwards arrow infinity of space fraction numerator begin display style 18 over x squared end style minus begin display style fraction numerator 39 x over denominator x squared end fraction end style minus begin display style fraction numerator 7 x squared over denominator x squared end fraction end style over denominator begin display style 14 over x squared end style minus begin display style x over x squared end style minus begin display style fraction numerator 3 x squared over denominator x squared end fraction end style end fraction equals limit as x rightwards arrow infinity of space fraction numerator begin display style 18 over x squared minus 39 over x squared minus fraction numerator 7 x squared over denominator x squared end fraction end style over denominator begin display style 14 over x squared minus x over x squared minus fraction numerator 3 x squared over denominator x squared end fraction end style end fraction equals limit as x rightwards arrow infinity of space fraction numerator begin display style 18 over x squared minus 39 over x minus 7 end style over denominator begin display style 14 over x squared minus 1 over x minus 3 end style end fraction equals fraction numerator negative 7 over denominator negative 3 end fraction equals 7 over 3$