Pertanyaan

Hasil dari x → ∞ lim 2 x 2 − 3 x − 2 − 2 x 2 + 3 x + 1 adalah...

Hasil dari $x \to \infty lim 2 x^{2} - 3 x - 2 - 2 x^{2} + 3 x + 1$ adalah... $\;$

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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hasil dari adalah 0.

hasil dari limit as x rightwards arrow infinity of space square root of 2 x squared minus 3 x minus 2 end root minus square root of 2 x squared plus 3 x plus 1 end root

limit as x rightwards arrow infinity of space square root of 2 x squared minus 3 x minus 2 end root minus square root of 2 x squared plus 3 x plus 1 end root

adalah 0.

Pembahasan

Perhatikan penghitungan berikut! Jadi, hasil dari adalah 0.

Perhatikan penghitungan berikut!

$limit as x rightwards arrow infinity of space square root of 2 x squared minus 3 x minus 2 end root minus square root of 2 x squared plus 3 x plus 1 end root equals limit as x rightwards arrow infinity of space square root of fraction numerator 2 x squared over denominator x squared end fraction minus fraction numerator 3 x over denominator x squared end fraction minus 2 over x squared end root minus square root of fraction numerator 2 x squared over denominator x squared end fraction plus fraction numerator 3 x over denominator x squared end fraction plus 1 over x squared end root equals limit as x rightwards arrow infinity of space square root of 2 minus 3 over x minus 2 over x squared end root minus square root of 2 plus 3 over x plus 1 over x squared end root equals square root of 2 minus 0 minus 0 end root minus square root of 2 plus 0 plus 0 end root equals square root of 2 minus square root of 2 equals 0$

Jadi, hasil dari limit as x rightwards arrow infinity of space square root of 2 x squared minus 3 x minus 2 end root minus square root of 2 x squared plus 3 x plus 1 end root adalah 0. space

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