Pertanyaan

Nilai x → 10 lim 2 x − x + 10 x 2 − 14 x + 40 adalah ...

Nilai $x \to 10 lim \frac{x ^{2} - 14 x + 40}{2 x - x + 10}$ adalah ...

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Habis dalam

Klaim

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C

Pembahasan

Jadi, jawaban yang tepat adalah C

$begin mathsize 14px style space space space limit as x rightwards arrow 10 of fraction numerator x squared minus 14 x plus 40 over denominator square root of 2 x end root minus square root of x plus 10 end root end fraction times fraction numerator square root of 2 x end root plus square root of x plus 10 end root over denominator square root of 2 x end root plus square root of x plus 10 end root end fraction equals limit as x rightwards arrow 10 of fraction numerator open parentheses x minus 10 close parentheses open parentheses x minus 4 close parentheses open parentheses square root of 2 x end root plus square root of x plus 10 end root close parentheses over denominator 2 x minus x minus 10 end fraction equals limit as x rightwards arrow 10 of fraction numerator open parentheses x minus 10 close parentheses open parentheses x minus 4 close parentheses open parentheses square root of 2 x end root plus square root of x plus 10 end root close parentheses over denominator x minus 10 end fraction equals open parentheses 10 minus 4 close parentheses open parentheses square root of 2 times 10 end root plus square root of 10 plus 10 end root close parentheses equals 6.2 square root of 20 equals 24 square root of 5 end style$

Jadi, jawaban yang tepat adalah C