Limit x_-3 3x^2 + 7x -6 / x^2 + 8x + 15​

Penyelesaian:

lim

x → – 3

(3x^2 + 7x – 6)/(x^2 + 8x + 15)

= (3x – 2) (x + 3)/(x + 3) (x + 5)

= (3x – 2)/(x + 5)

= (3(-3) – 2)/(- 3 + 5)

= – 11/2

= – 5 1/2

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Limit Fungsi Aljabar

Kode: 11.2.8

Kata Kunci: Metode Pemfaktoran

Penjelasan dengan langkah-langkah:

lim ₓ→₋₃(3x² + 7x -6)/(x² + 8x + 15)

lim ₓ→₋₃(3x – 2)(x + 3)/(x + 5)(x + 3)

lim ₓ→₋₃(3x – 2)/(x + 5)

= (3(-3) – 2)/(-3 + 5)

= -11/2