Roboguru

Nilai adalah...

Pertanyaan

Nilai limit as x rightwards arrow infinity of fraction numerator 6 minus 4 x to the power of 4 over denominator 2 plus x to the power of 4 end fraction adalah...

  1. negative 6

  2. negative 4

  3. 3

  4. 4

  5. 6

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 6 minus 4 x to the power of 4 over denominator 2 plus x to the power of 4 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 6 over x to the power of 4 end style minus begin display style fraction numerator 4 x to the power of 4 over denominator x to the power of 4 end fraction end style over denominator begin display style 2 over x to the power of 4 end style plus begin display style x to the power of 4 over x to the power of 4 end style end fraction end cell row blank equals cell fraction numerator begin display style 6 over infinity minus fraction numerator 4 x to the power of 4 over denominator x to the power of 4 end fraction end style over denominator begin display style 2 over infinity plus x to the power of 4 over x to the power of 4 end style end fraction end cell row blank equals cell fraction numerator 0 minus 4 over denominator 0 plus 1 end fraction end cell row blank equals cell negative 4 end cell end table

Jadi, limit as x rightwards arrow infinity of fraction numerator 6 minus 4 x to the power of 4 over denominator 2 plus x to the power of 4 end fraction equals negative 4.

Oleh karena itu, jawaban yang benar adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 26 Juli 2021

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