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x→2lim​1−x2(x10−1)​=...

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator open parentheses x to the power of 10 minus 1 close parentheses over denominator 1 minus x squared end fraction equals... end style

  1. begin mathsize 14px style negative 341 end style

  2. size 14px minus size 14px 256

  3. begin mathsize 14px style 256 end style

  4. begin mathsize 14px style 341 end style

  5. begin mathsize 14px style 1.023 end style

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Perhatikan perhitungan berikut.

Ingat:

begin mathsize 14px style limit as x rightwards arrow c of fraction numerator f open parentheses x close parentheses over denominator g open parentheses x close parentheses end fraction equals fraction numerator limit as x rightwards arrow c of f open parentheses x close parentheses over denominator limit as x rightwards arrow c of g open parentheses x close parentheses end fraction end style

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator left parenthesis x to the power of 10 minus 1 right parenthesis over denominator 1 minus x squared end fraction end cell equals cell fraction numerator open parentheses open parentheses 2 close parentheses to the power of 10 minus 1 close parentheses over denominator 1 minus open parentheses 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 1.024 minus 1 over denominator 1 minus 4 end fraction end cell row blank equals cell fraction numerator 1.023 over denominator negative 3 end fraction end cell row blank equals cell negative 341 end cell end table

Jadi, nilai limit tersebut adalah mendekati begin mathsize 14px style negative 341 end style.

Dengan demikian, jawaban yang tepat adalah A.

170

5.0 (9 rating)

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