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Pertanyaan

Tentukan nilai limit as x rightwards arrow infinity of fraction numerator x squared minus 4 over denominator x cubed plus 1 end fraction adalah ....

  1. infinity 

  2. 3 

  3. 6 

  4. 2 

  5. 0 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Bagi dengan pangkat tertinggi open parentheses x cubed close parentheses untuk pembilang dan penyebutnya.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator x squared minus 4 over denominator x cubed plus 1 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator x squared minus 4 over denominator x cubed end fraction end style over denominator begin display style fraction numerator x cubed plus 1 over denominator x cubed end fraction end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style x squared over x cubed minus 4 over x cubed end style over denominator begin display style x cubed over x cubed plus 1 over x cubed end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 1 over x minus 4 over x cubed end style over denominator begin display style 1 plus 1 over x cubed end style 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  

Jadi, jawaban yang tepat adalah E.

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