Pertanyaan

Nilai x → 2 lim x + 7 − 3 x − 2 = …

Nilai $x \to 2 lim \frac{x - 2}{x + 7 - 3} = \dots$

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Habis dalam

Klaim

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Jadi, jawaban yang tepat adalah A.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator square root of x plus 7 end root minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator x minus 2 over denominator square root of x plus 7 end root minus 3 end fraction cross times fraction numerator square root of x plus 7 end root plus 3 over denominator square root of x plus 7 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x minus 2 close parentheses. open parentheses square root of x plus 7 end root plus 3 close parentheses over denominator x plus 7 minus 9 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator up diagonal strike open parentheses x minus 2 close parentheses end strike. open parentheses square root of x plus 7 end root plus 3 close parentheses over denominator up diagonal strike x minus 2 end strike end fraction end cell row blank equals cell limit as x rightwards arrow 2 of square root of x plus 7 end root plus 3 end cell row blank equals cell square root of 2 plus 7 end root plus 3 end cell row blank equals 6 end table end style$

Jadi, jawaban yang tepat adalah A.