Roboguru

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 1 of invisible function application fraction numerator x squared minus 4 x plus 3 over denominator x cubed minus 1 end fraction equals horizontal ellipsis end style 

  1. begin mathsize 14px style negative 2 over 3 end style 

  2. begin mathsize 14px style negative 1 end style 

  3. undefined 

  4. undefined  

  5. begin mathsize 14px style 2 over 3 end style 

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x squared minus 4 x plus 3 over denominator x cubed minus 1 end fraction end cell equals cell fraction numerator 1 squared minus 4 times 1 plus 3 over denominator 1 cubed minus 1 end fraction end cell row blank equals cell 0 over 0 end cell row cell limit as x rightwards arrow 1 of fraction numerator x squared minus 4 x plus 3 over denominator x cubed minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator left parenthesis x minus 1 right parenthesis left parenthesis x minus 3 right parenthesis over denominator left parenthesis x minus 1 right parenthesis left parenthesis x squared plus x plus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator x minus 3 over denominator x squared plus x plus 1 end fraction end cell row blank equals cell fraction numerator 1 minus 3 over denominator 1 squared plus 1 plus 1 end fraction end cell row blank equals cell negative 2 over 3 end cell end table end style  

Jadi, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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