x→3lim​x2−2x−3x2−9​=…

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator x squared minus 2 x minus 3 end fraction equals horizontal ellipsis end style 

  1. begin mathsize 14px style negative 3 over 2 end style 

  2. begin mathsize 14px style negative 2 over 3 end style 

  3. begin mathsize 14px style 0 end style 

  4. begin mathsize 14px style 2 over 3 end style 

  5. begin mathsize 14px style 3 over 2 end style 

R. Almira

Master Teacher

Mahasiswa/Alumni Universitas Pertamina

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Dengan menggunakan metode pemfaktoran dan subtitusi limit suatu fungsi, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator x squared minus 2 x minus 3 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 3 close parentheses over denominator open parentheses x minus 3 close parentheses open parentheses x plus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator x plus 3 over denominator x plus 1 end fraction end cell row blank equals cell fraction numerator left parenthesis 3 right parenthesis plus 3 over denominator left parenthesis 3 right parenthesis plus 1 end fraction end cell row blank equals cell 6 over 4 end cell row blank equals cell 3 over 2 end cell end table 

Dengan demikian, limit as x rightwards arrow 3 of fraction numerator x squared minus 9 over denominator x squared minus 2 x minus 3 end fraction equals 3 over 2.

Jadi, jawaban yang benar adalah E.

105

5.0 (6 rating)

Asvira Syahraini AR.

Mudah dimengerti

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