Pertanyaan

Nilai x → 6 lim x − 6 2 x + 4 − 3 x − 2 adalah ...

Nilai $x \to 6 lim \frac{2 x + 4 - 3 x - 2}{x - 6}$ adalah ...

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E

Pembahasan

Jadi, jawaban yang tepat adalah E

$begin mathsize 14px style space space space space limit as x rightwards arrow 6 of fraction numerator square root of 2 x plus 4 end root minus square root of 3 x minus 2 end root over denominator x minus 6 end fraction times fraction numerator square root of 2 x plus 4 end root plus square root of 3 x minus 2 end root over denominator square root of 2 x plus 4 end root plus square root of 3 x minus 2 end root end fraction equals limit as x rightwards arrow 6 of fraction numerator open parentheses 2 x plus 4 close parentheses minus open parentheses 3 x minus 2 close parentheses over denominator open parentheses x minus 6 close parentheses open parentheses square root of 2 x plus 4 end root plus square root of 3 x minus 2 end root close parentheses end fraction equals limit as x rightwards arrow 6 of fraction numerator negative x plus 6 over denominator negative open parentheses negative x plus 6 close parentheses open parentheses square root of 2 x plus 4 end root plus square root of 3 x minus 2 end root close parentheses end fraction equals fraction numerator 1 over denominator negative open parentheses square root of 2 times 6 plus 4 end root plus square root of 3 times 6 minus 2 end root close parentheses end fraction equals negative fraction numerator 1 over denominator 4 plus 4 end fraction equals negative 1 over 8 end style$

Jadi, jawaban yang tepat adalah E