Roboguru

Nilai  sama dengan ....

Nilai begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator x squared minus 9 over denominator x cubed plus 1 end fraction end style sama dengan ....space 

  1. begin mathsize 14px style negative 2 end style 

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

  3. begin mathsize 14px style 0 end style 

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

  5. begin mathsize 14px style 2 end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator x squared minus 9 over denominator x cubed plus 1 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator x cubed open parentheses begin display style 1 over x end style minus begin display style 9 over x cubed end style close parentheses over denominator x cubed open parentheses 1 plus begin display style 1 over x cubed end style close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 1 over x minus 9 over x cubed over denominator 1 plus 1 over x cubed end fraction end cell row blank equals cell fraction numerator 0 minus 0 over denominator 1 plus 0 end fraction end cell row blank equals cell 0 over 1 end cell row blank equals 0 end table end style 

Jadi, jawaban yang tepat adalah C.space 

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