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Nilai

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow 5 of invisible function application fraction numerator x cubed minus 125 over denominator x squared minus 25 end fraction equals... end style 

  1. begin mathsize 14px style 2 end style 

  2. begin mathsize 14px style 4 end style 

  3. begin mathsize 14px style 6 end style 

  4. begin mathsize 14px style 7 1 half end style 

  5. undefined 

Pembahasan Video:

Pembahasan Soal:

Untuk begin mathsize 14px style x equals 5 end style maka begin mathsize 14px style limit as x rightwards arrow 5 of invisible function application fraction numerator x cubed minus 125 over denominator x squared minus 25 end fraction equals fraction numerator 5 cubed minus 125 over denominator 5 squared minus 25 end fraction equals 0 over 0 end style.

Diperoleh nilai begin mathsize 14px style 0 over 0 end style. Oleh karena itu, harus difaktorkan terlebih dahulu,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of invisible function application fraction numerator x cubed minus 125 over denominator x squared minus 25 end fraction end cell equals cell limit as x rightwards arrow 5 of invisible function application fraction numerator down diagonal strike left parenthesis x minus 5 right parenthesis end strike open parentheses x squared plus 5 x plus 25 close parentheses over denominator down diagonal strike left parenthesis x minus 5 right parenthesis end strike left parenthesis x plus 5 right parenthesis end fraction end cell row blank equals cell fraction numerator 5 squared plus 5 left parenthesis 5 right parenthesis plus 25 over denominator 5 plus 5 end fraction end cell row blank equals cell 75 over 10 end cell row blank equals cell 7 1 half end cell end table end style

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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