Lim x menuju 0, 1 - cos x : 3x sin x =
Matematika
oppajuki
Pertanyaan
Lim x menuju 0, 1 - cos x : 3x sin x =
1 Jawaban
-
1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
Lim (1 - cos x)/(3x . sin x) = Lim ((1 - cos x)/(3x . sin x)).((1 + cos x)/(1 + cos x)
x→0 x→0
= Lim (1² - cos² x) / ((1 + cos x) . (3x .sin x))
x→0
= Lim (sin² x) / ((1 + cos x) . (3x . sin x))
x→0
= Lim ((sin x)/sin x)) . (sin x)/3x) . 1/(1 + cos x)
x→0
= 1 . (1/3) . 1/(1 + 1)
= (1/3) . (1/2)
= 1/6