Roboguru

Nilai

Pertanyaan

Nilai limit as x rightwards arrow infinity of fraction numerator 4 x squared minus 2 x plus 1 over denominator 3 x squared plus 2 end fraction equals...

  1. 4 over 3

  2. 3 over 4

  3. 3 over 5

  4. 1 half

  5. 0

Pembahasan Soal:

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

Jadi, nilai limit di atas adalah 4 over 3.

Oleh karena itu, jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 Juni 2021

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