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Pertanyaan

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

  1. 0

  2. 1 third

  3. 1

  4. 3

  5. infinity

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

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Pembahasan

Kalikan dengan pada bagian pembilang dan penyebutnya. Jawaban B

Kalikan dengan 1 over x squared pada bagian pembilang dan penyebutnya.

limit as x rightwards arrow infinity of space fraction numerator x squared minus 2 x plus 4 over denominator 3 x squared plus x minus 3 end fraction times fraction numerator open parentheses begin display style 1 over x squared end style close parentheses over denominator open parentheses begin display style 1 over x squared end style close parentheses end fraction  equals limit as x rightwards arrow infinity of fraction numerator begin display style x squared over x squared minus fraction numerator 2 x over denominator x squared end fraction plus 4 over x squared end style over denominator begin display style fraction numerator 3 x squared over denominator x squared end fraction plus x over x squared minus 3 over x squared end style end fraction  equals limit as x rightwards arrow infinity of space fraction numerator 1 minus begin display style 2 over x end style plus begin display style 4 over x squared end style over denominator 3 plus begin display style 1 over x end style minus begin display style 3 over x squared end style end fraction  equals fraction numerator 1 minus 0 plus 0 over denominator 3 plus 0 minus 0 end fraction  equals 1 third

Jawaban B

Latihan Bab

Konsep Kilat

Limit Fungsi Trigonometri

Limit Tak Hingga

Kekontinuan dan Asimtot

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