Pertanyaan

Nilai dari x → − 2 lim x 2 + 5 x + 8 x 2 − 2 x − 6 adalah ....

Nilai dari $x \to - 2 lim \frac{x ^{2} - 2 x - 6}{x ^{2} + 5 x + 8}$ adalah ....

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

.

$limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction equals 1$ .

Pembahasan

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

Permasalahan $limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction$ dapat diselesaikan dengan menggunakan metode substitusi. Sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction end cell equals cell fraction numerator open parentheses negative 2 close parentheses squared minus 2 open parentheses negative 2 close parentheses minus 6 over denominator open parentheses negative 2 close parentheses squared plus 5 open parentheses negative 2 close parentheses plus 8 end fraction end cell row blank equals cell fraction numerator 4 plus 4 minus 6 over denominator 4 minus 10 plus 8 end fraction end cell row blank equals cell 2 over 2 end cell row blank equals 1 end table$

Jadi, $limit as x rightwards arrow negative 2 of fraction numerator x squared minus 2 x minus 6 over denominator x squared plus 5 x plus 8 end fraction equals 1$ .