Pertanyaan

x → 2 lim x 2 − 5 x + 6 x 2 − 10 x + 16

$x \to 2 lim \frac{x ^{2} - 10 x + 16}{x ^{2} - 5 x + 6}$

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

nilai adalah 6 .

nilai $begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x squared minus 10 x plus 16 over denominator x squared minus 5 x plus 6 end fraction end style$ adalah

6

Pembahasan

Jadi, nilai adalah 6 .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared minus 10 x plus 16 over denominator x squared minus 5 x plus 6 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator left parenthesis x minus 8 right parenthesis up diagonal strike left parenthesis x minus 2 right parenthesis end strike over denominator left parenthesis x minus 3 right parenthesis up diagonal strike left parenthesis x minus 2 right parenthesis end strike end fraction end cell row blank equals cell fraction numerator 2 minus 8 over denominator 2 minus 3 end fraction end cell row blank equals cell fraction numerator negative 6 over denominator negative 1 end fraction end cell row blank equals 6 end table end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x squared minus 10 x plus 16 over denominator x squared minus 5 x plus 6 end fraction end style$ adalah $6$ .