Pertanyaan

x → 3 lim − 3 x 2 + 11 x − 6 x − 3

$x \to 3 lim \frac{x - 3}{- 3 x ^{2} + 11 x - 6}$

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style limit as x rightwards arrow 3 of space table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x minus 3 over denominator negative 3 x squared plus 11 x minus 6 end fraction end cell end table equals negative 7 end style$

Pembahasan

Jadi,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of space fraction numerator x minus 3 over denominator negative 3 x squared plus 11 x minus 6 end fraction end cell equals cell limit as x rightwards arrow 3 of space fraction numerator x minus 3 over denominator left parenthesis negative 3 x plus 2 right parenthesis left parenthesis x minus 3 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 3 of space fraction numerator 1 over denominator left parenthesis negative 3 x plus 2 right parenthesis end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 3 left parenthesis 3 right parenthesis plus 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator negative 7 end fraction end cell end table end style$

Jadi, $begin mathsize 14px style limit as x rightwards arrow 3 of space table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x minus 3 over denominator negative 3 x squared plus 11 x minus 6 end fraction end cell end table equals negative 7 end style$