Pertanyaan

x → ∞ lim x + 2 − x 2 − 6 x + 10 adalah...

$x \to \infty lim x + 2 - x^{2} - 6 x + 10$ adalah...

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of open parentheses square root of open parentheses x plus 2 close parentheses squared end root minus square root of x squared minus 6 x plus 10 end root close parentheses equals limit as x rightwards arrow infinity of open parentheses square root of x squared plus 4 x plus 4 end root minus square root of x squared minus 6 x plus 10 end root close parentheses equals fraction numerator 4 minus open parentheses negative 6 close parentheses over denominator 2 square root of 1 end fraction equals 10 over 2 equals 5$

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