Pertanyaan

Tentukan nilai limit dari x → 3 lim x 2 + 15 x + 36 x 2 − 5 x + 6 !

Tentukan nilai limit dari $x \to 3 lim \frac{x ^{2} - 5 x + 6}{x ^{2} + 15 x + 36}$ !

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

Z. Apriani

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

.

$limit as x rightwards arrow 3 of fraction numerator x squared minus 5 x plus 6 over denominator x squared plus 15 x plus 36 end fraction equals 0$ .

Pembahasan

Dengan mengganti nilai dengan , diperoleh: Jadi, .

Dengan mengganti nilai dengan , diperoleh:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x squared minus 5 x plus 6 over denominator x squared plus 15 x plus 36 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator 3 squared minus 5 times 3 plus 6 over denominator 3 squared plus 15 times 3 plus 36 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of 0 over 90 end cell row blank equals 0 end table$

Jadi, $limit as x rightwards arrow 3 of fraction numerator x squared minus 5 x plus 6 over denominator x squared plus 15 x plus 36 end fraction equals 0$ .