Pertanyaan

1. x → 2 lim x − 2 x 2 + x − 6

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

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

.

$limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction equals 5$ .

Pembahasan

Permasalahan dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh Jadi, .

Permasalahan $limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction$ dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

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

Jadi, $limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x minus 2 end fraction equals 5$ .