Pertanyaan

Nilai x → 7 lim x + 2 − 3 2 x 2 − 15 x + 7 adalah ...

Nilai $x \to 7 lim \frac{2 x ^{2} - 15 x + 7}{x + 2 - 3}$ adalah ...

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Jadi, jawaban yang tepat adalah A.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 7 of fraction numerator 2 x squared minus 15 x plus 7 over denominator square root of x plus 2 end root minus 3 end fraction times fraction numerator square root of x plus 2 end root plus 3 over denominator square root of x plus 2 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 7 of fraction numerator left parenthesis 2 x minus 1 right parenthesis left parenthesis x minus 7 right parenthesis square root of x plus 2 end root plus 3 over denominator left parenthesis x plus 2 right parenthesis minus 9 end fraction end cell row blank equals cell limit as x rightwards arrow 7 of fraction numerator left parenthesis 2 x minus 1 right parenthesis up diagonal strike left parenthesis x minus 7 right parenthesis end strike square root of x plus 2 end root plus 3 over denominator up diagonal strike left parenthesis x minus 7 right parenthesis end strike end fraction end cell row blank equals cell limit as x rightwards arrow 7 of left parenthesis 2 x minus 1 right parenthesis left parenthesis square root of x plus 2 end root plus 3 right parenthesis end cell row blank equals cell left parenthesis 2.7 minus 1 right parenthesis left parenthesis square root of 7 plus 2 end root plus 3 right parenthesis end cell row blank equals cell left parenthesis 13 right parenthesis left parenthesis 6 right parenthesis end cell row blank equals 78 end table end style$

Jadi, jawaban yang tepat adalah A.