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Jika f(x)=x2−4x2−2x​, maka x→2lim​ f(x)=....

Pertanyaan

Jika begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x squared minus 2 x over denominator x squared minus 4 end fraction end style, maka begin mathsize 14px style limit as x rightwards arrow 2 of space f open parentheses x close parentheses equals.... end style 

  1. begin mathsize 14px style 0 end style 

  2. begin mathsize 14px style infinity end style 

  3. begin mathsize 14px style negative 2 end style 

  4. begin mathsize 14px style 1 half end style 

  5. begin mathsize 14px style 2 end style 

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space f open parentheses x close parentheses end cell equals cell limit as x rightwards arrow 2 of space fraction numerator x squared minus 2 x over denominator x squared minus 4 end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space fraction numerator x open parentheses x minus 2 close parentheses over denominator open parentheses x plus 2 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space fraction numerator x over denominator open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 2 over denominator 2 plus 2 end fraction end cell row blank equals cell 2 over 4 end cell row blank equals cell 1 half end cell end table end style 

Jadi, jawaban yang tepat adalah D.

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