x→3limx2−2x−3x2−9=…

Pertanyaan

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

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.