Nilai x→27lim​x−273x​−3​=…

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow 27 of fraction numerator cube root of x minus 3 over denominator x minus 27 end fraction equals horizontal ellipsis end style

  1. begin mathsize 14px style infinity end style

  2. begin mathsize 14px style 3 end style

  3. begin mathsize 14px style 1 end style

  4. begin mathsize 14px style 1 over 27 end style

  5. begin mathsize 14px style 0 end style

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 27 of fraction numerator cube root of x minus 3 over denominator x minus 27 end fraction end cell row blank equals cell limit as x rightwards arrow 27 of fraction numerator cube root of x minus 3 over denominator x minus 27 end fraction cross times fraction numerator cube root of x squared end root plus 3 cube root of x plus 9 over denominator cube root of x squared end root plus 3 cube root of x plus 9 end fraction end cell row blank equals cell limit as x rightwards arrow 27 of fraction numerator x minus 27 over denominator open parentheses x minus 27 close parentheses. open parentheses cube root of x squared end root plus 3 cube root of x plus 9 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 27 of fraction numerator 1 over denominator open parentheses cube root of x squared end root plus 3 cube root of x plus 9 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator open parentheses cube root of 27 squared end root plus 3 cube root of 27 plus 9 close parentheses end fraction end cell row blank equals cell 1 over 27 end cell end table end style

Jadi, jawaban yang tepat adalah D.

171

4.6 (13 rating)

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