Pertanyaan

Nilai x → 3 lim 2 x − 3 − x x + 2 − 2 x − 1 adalah....

Nilai $x \to 3 lim \frac{x + 2 - 2 x - 1}{2 x - 3 - x}$ adalah....

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

T. Rizki

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Nilai limit pada soal di atas dapat dicari dengan cara mengalikannya dengan akar sekawan dari yaitu . Diperoleh Jadi, jawaban yang tepat adalah B.

Nilai limit pada soal di atas dapat dicari dengan cara mengalikannya dengan akar sekawan dari yaitu . Diperoleh

$begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator square root of 2 x minus 3 end root minus square root of x end fraction equals limit as x rightwards arrow 3 of open parentheses fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator square root of 2 x minus 3 end root minus square root of x end fraction times fraction numerator square root of 2 x minus 3 end root plus square root of x over denominator square root of 2 x minus 3 end root plus square root of x end fraction close parentheses equals limit as x rightwards arrow 3 of open parentheses fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times square root of 2 x minus 3 end root plus square root of x close parentheses equals limit as x rightwards arrow 3 of fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times limit as x rightwards arrow 3 of square root of 2 x minus 3 end root plus square root of x equals limit as x rightwards arrow 3 of fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times 2 square root of 3 equals 2 square root of 3 open parentheses limit as x rightwards arrow 3 of fraction numerator square root of x plus 2 end root minus square root of 2 x minus 1 end root over denominator x minus 3 end fraction times fraction numerator square root of x plus 2 end root plus square root of 2 x minus 1 end root over denominator square root of x plus 2 end root plus square root of 2 x minus 1 end root end fraction close parentheses equals 2 square root of 3 open parentheses limit as x rightwards arrow 3 of fraction numerator negative x plus 3 over denominator x minus 3 end fraction times fraction numerator 1 over denominator square root of x plus 2 end root plus square root of 2 x minus 1 end root end fraction close parentheses equals negative 2 square root of 3 limit as x rightwards arrow 3 of fraction numerator 1 over denominator square root of x plus 2 end root plus square root of 2 x minus 1 end root end fraction equals negative 2 square root of 3 times fraction numerator 1 over denominator square root of 5 plus square root of 5 end fraction equals negative fraction numerator 2 square root of 3 over denominator 2 square root of 5 end fraction equals negative square root of 3 over 5 end root equals negative 1 fifth square root of 15 end style$

Jadi, jawaban yang tepat adalah B.