Pertanyaan

Nilai x → − 1 lim ( 7 + x − 5 − x 3 x + 3 ) adalah ...

Nilai $x \to - 1 lim (\frac{3 x + 3}{7 + x - 5 - x})$ adalah ...

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Habis dalam

Klaim

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Dengan metode mengalikan bentuk sekawannya Jadi, jawaban yang tepat adalah D.

Dengan metode mengalikan bentuk sekawannya

$begin mathsize 14px style table attributes columnalign center left columnspacing 2px end attributes row blank cell limit as straight x rightwards arrow negative 1 of left parenthesis fraction numerator 3 straight x plus 3 over denominator square root of 7 plus straight x end root minus square root of 5 minus straight x end root end fraction right parenthesis end cell row equals cell limit as straight x rightwards arrow negative 1 of left parenthesis fraction numerator 3 straight x plus 3 over denominator square root of 7 plus straight x end root minus square root of 5 minus straight x end root end fraction cross times fraction numerator square root of 7 plus straight x end root plus square root of 5 minus straight x end root over denominator square root of 7 plus straight x end root plus square root of 5 minus straight x end root end fraction right parenthesis end cell row equals cell limit as straight x rightwards arrow negative 1 of open parentheses fraction numerator open parentheses 3 straight x plus 3 close parentheses open parentheses square root of 7 plus straight x end root plus square root of 5 minus straight x end root close parentheses over denominator 7 plus straight x minus open parentheses 5 minus straight x close parentheses end fraction close parentheses end cell row equals cell limit as straight x rightwards arrow negative 1 of open parentheses fraction numerator open parentheses 3 straight x plus 3 close parentheses open parentheses square root of 7 plus straight x end root plus square root of 5 minus straight x end root close parentheses over denominator 2 plus 2 straight x end fraction close parentheses end cell row equals cell limit as straight x rightwards arrow negative 1 of open parentheses fraction numerator 3 up diagonal strike open parentheses straight x plus 1 close parentheses end strike open parentheses square root of 7 plus straight x end root plus square root of 5 minus straight x end root close parentheses over denominator 2 up diagonal strike open parentheses 1 plus straight x close parentheses end strike end fraction close parentheses end cell row equals cell fraction numerator 3 open parentheses square root of 7 plus open parentheses negative 1 close parentheses end root plus square root of 5 minus open parentheses negative 1 close parentheses end root close parentheses over denominator 2 end fraction end cell row equals cell fraction numerator 3 open parentheses square root of 6 plus square root of 6 close parentheses over denominator 2 end fraction end cell row equals cell fraction numerator 3 times up diagonal strike 2 square root of 6 over denominator up diagonal strike 2 end fraction end cell row equals cell 3 square root of 6 end cell end table end style$

Jadi, jawaban yang tepat adalah D.