Pertanyaan

x → 2 lim x − 2 x 2 + x − 6 = ...

$x \to 2 lim \frac{x ^{2} + x - 6}{x - 2} = ...$

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

Jika dimasukkan nilai x = 2 maka akan menghasilkan nilai 0. Cara 1: Diturunkan penyebut dan pembilangnya: Cara 2: Difaktorkan

Jika dimasukkan nilai x = 2 maka akan menghasilkan nilai 0.
Cara 1: Diturunkan penyebut dan pembilangnya:
$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator 2 x plus 1 over denominator 1 end fraction end cell row blank equals cell 5 over 1 end cell row blank equals 5 end table$

Cara 2: Difaktorkan
$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 2 of space fraction numerator straight x squared plus straight x minus 6 over denominator straight x minus 2 end fraction end cell equals cell limit as straight x rightwards arrow 2 of fraction numerator open parentheses straight x plus 3 close parentheses open parentheses straight x minus 2 close parentheses over denominator straight x minus 2 end fraction end cell row blank equals cell limit as straight x rightwards arrow 2 of open parentheses straight x plus 3 close parentheses end cell row blank equals cell 2 plus 3 end cell row blank equals 5 end table$