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Pertanyaan

Nilai 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 space horizontal ellipsis

  1. 8 over 3

  2. 7 over 3

  3. 2

  4. 5 over 3

  5. 4 over 3

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

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