Pertanyaan

Nilai x → 2 lim x − 1 x 2 − 3 x + 2 = ...

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

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Pembahasan

Dengan memfaktorkan fungsi kuadrat yang terdapat pada limit, maka: Jadi, .

Dengan memfaktorkan fungsi kuadrat yang terdapat pada limit, maka:

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

Jadi,

$limit as x rightwards arrow 2 of fraction numerator x squared minus 3 x plus 2 over denominator x minus 1 end fraction equals 0$ .