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Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow 9 of fraction numerator 7 square root of 4 x end root minus 6 over denominator 4 square root of 3 x minus 2 end root minus 5 end fraction end style adalah ....

  1. begin mathsize 14px style 16 over 5 end style  

  2. begin mathsize 14px style 12 over 5 end style 

  3. begin mathsize 14px style 6 over 5 end style 

  4. begin mathsize 14px style 3 over 5 end style 

  5. begin mathsize 14px style 2 over 5 end style 

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Dengan metode subtitusi. 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 9 of fraction numerator 7 square root of 4 x end root minus 6 over denominator 4 square root of 3 x minus 2 end root minus 5 end fraction end cell equals cell fraction numerator 7 square root of 4 times 9 end root minus 6 over denominator 4 square root of 3 times 9 minus 2 end root minus 5 end fraction end cell row blank equals cell fraction numerator 7 square root of 36 minus 6 over denominator 4 square root of 25 minus 5 end fraction end cell row blank equals cell fraction numerator 7 times 6 minus 6 over denominator 4 times 5 minus 5 end fraction end cell row blank equals cell 36 over 15 end cell row blank equals cell 12 over 5 end cell end table end style 

Maka, nilai begin mathsize 14px style limit as x rightwards arrow 9 of fraction numerator 7 square root of 4 x end root minus 6 over denominator 4 square root of 3 x minus 2 end root minus 5 end fraction end style adalah begin mathsize 14px style 12 over 5 end style.

Jadi, jawaban yang tepat adalah B.

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