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Nilai adalah ....

Nilai begin mathsize 14px style limit as x rightwards arrow infinity of invisible function application open parentheses square root of 9 x squared minus 6 x minus 1 end root minus open parentheses 3 x plus 1 close parentheses close parentheses end style adalah ....

  1. -4

  2. -3

  3. -2

  4. 0

  5. 1

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S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

begin mathsize 14px style limit as straight x rightwards arrow straight infinity of invisible function application open parentheses square root of 9 straight x squared minus 6 straight x minus 1 end root minus open parentheses 3 straight x plus 1 close parentheses close parentheses  equals limit as straight x rightwards arrow straight infinity of invisible function application square root of 9 straight x squared minus 6 straight x minus 1 end root minus square root of open parentheses 3 straight x plus 1 close parentheses squared end root  equals limit as straight x rightwards arrow straight infinity of invisible function application square root of 9 straight x squared minus 6 straight x minus 1 end root minus square root of 9 straight x squared plus 6 straight x plus 1 end root    Didapat space bahwa space straight a equals 9 comma space straight b equals negative 6 comma space straight c equals negative 1 space lalu space straight p equals 9 comma space straight q equals 6 space dan space straight r equals 1  straight L equals fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction  straight L equals fraction numerator negative 6 minus 6 over denominator 2 square root of 9 end fraction equals negative 12 over 6 equals negative 2 end style

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