Soal Matematika Kelas XII no 23

23. Lim x -> 1 (2x^2 - x - 1) / (3x^2 - x - 2) = ...

A. 0

B. 2/3

C. 3/5

D. 0

E. ∞

Jawaban :

Lim x -> 1 (2x^2 - x - 1) / (3x^2 - x - 2)

Lim x -> 1 (2x + 1) (x - 1) / (3x + 2) (x - 1)

coret (x - 1)

Lim x -> 1 (2x + 1) / (3x + 2)

masukkan nilai x = 1

(2 (1) + 1) / (3(1) + 2)

= (2 + 1) / (3 + 2)

= 3 / 5

Jawaban : C