Pertanyaan

Nilai x → 1 lim 3 x 2 − x − 2 2 x 2 − x − 1 adalah...

Nilai $x \to 1 lim \frac{2 x ^{2} - x - 1}{3 x ^{2} - x - 2}$ adalah...

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 1 over denominator 3 x squared minus x minus 2 end fraction$ adalah 3 over 5

Pembahasan

Untuk mencari nilai limit, cari dengan mencari faktor persamaan kuadrat : Jadi, nilai adalah .

Untuk mencari nilai limit, cari dengan mencari faktor persamaan kuadrat :

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 1 over denominator 3 x squared minus x minus 2 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator left parenthesis 2 x plus 1 right parenthesis up diagonal strike left parenthesis x minus 1 right parenthesis end strike over denominator open parentheses 3 x plus 2 close parentheses up diagonal strike left parenthesis x minus 1 right parenthesis end strike end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator left parenthesis 2 x plus 1 right parenthesis over denominator open parentheses 3 x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 2 left parenthesis 1 right parenthesis plus 1 over denominator 3 left parenthesis 1 right parenthesis plus 2 end fraction end cell row blank equals cell fraction numerator 2 plus 1 over denominator 3 plus 2 end fraction end cell row blank equals cell 3 over 5 end cell end table$

Jadi, nilai $limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 1 over denominator 3 x squared minus x minus 2 end fraction$ adalah 3 over 5 .