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Pertanyaan

Nilai x → ∞ lim ​ 3 x − 4 x 2 − 5 x + 6 ​ 2 x ​ = ...

Nilai  ...

  1. 2 over 3

  2. 6 over 5

  3. 5 over 3

  4. 3 over 5

  5. infinity

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N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

jawaban yang benar adalah B.

Pembahasan

Pembahasan
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Oleh karena itu, jawaban yang benar adalah B.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of fraction numerator 2 x over denominator 3 x minus square root of 4 x squared minus 5 x plus 6 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 2 x over denominator 3 x minus square root of 4 x squared minus 5 x plus 6 end root end fraction cross times fraction numerator 3 x plus square root of 4 x squared minus 5 x plus 6 end root over denominator 3 x plus square root of 4 x squared minus 5 x plus 6 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 6 x squared plus 2 x square root of 4 x squared minus 5 x plus 6 end root over denominator 9 x squared minus left parenthesis 4 x squared minus 5 x plus 6 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 6 x squared plus 2 x square root of 4 x squared minus 5 x plus 6 end root over denominator 5 x squared plus 5 x plus 6 end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 6 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 2 x square root of 4 x squared minus 5 x plus 6 end root over denominator x squared end fraction end style over denominator begin display style fraction numerator 5 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 5 x over denominator x squared end fraction end style plus begin display style 6 over x squared end style end fraction end cell row blank equals cell fraction numerator 6 plus 0 over denominator 5 plus 0 plus 0 end fraction end cell row blank equals cell 6 over 5 end cell end table

Oleh karena itu, jawaban yang benar adalah B.

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