Hasil dari Lim x2-5x-6 sin 2(x-2) x->2 ------------------------- x2-x-2
Matematika
julian97
Pertanyaan
Hasil dari
Lim x2-5x-6 sin 2(x-2)
x->2 -------------------------
x2-x-2
Lim x2-5x-6 sin 2(x-2)
x->2 -------------------------
x2-x-2
2 Jawaban
-
1. Jawaban rendiandan
limit x²-5x-6 sin 2(x-2)
x —> 2
(2)²-5(2)-6 sin 2(x-2)
(2)(2)-10-6 sin 2(x-2)
4-16 sin 2(2-2)
-12 sin 8 -
2. Jawaban arsetpopeye
Lim (x^2 - 5x - 6)(sin 2(x - 2)) / (x^2 - x - 2)
= Lim (x^2 - 5x - 6)(sin 2(x - 2)) / (x - 2)(x + 1)
= Lim (x^2 - 5x - 6)/(x + 1) . (sin 2(x - 2))/(x - 2)
= (2^2 - 5(2) - 6)/(2 + 1) . 2/1
= (-12/3) . 2
= -8