Kelas XII
Sukino Kelas XII
Kunci Jawaban Matematika Kelas XII Peminatan
Bab 2 Turunan Fungsi Trigonometri
RUKO 2
Bag A
31. limit x→1
sin 2(x - 1)
----------------------------------- = ...
(x2 - 2x + 1) cotan 1/2 (x - 1)
a. 0.25
b. 0.50
c. 1.00
d. 2.00
e. 4.00
Jawaban : C
limit x→1
sin 2(x - 1)
----------------------------------- =
(x2 - 2x + 1) cotan 1/2 (x - 1)
limit x→1
sin 2(x - 1) sin 1/2 (x - 1)
----------------------------------- =
(x - 1) (x - 1) cos 1/2 (x - 1)
limit x→1
sin 2(x - 1) sin 1/2 (x - 1) 1
------------- . ------------------ . ----------------- =
(x - 1) (x - 1) cos 1/2 (x - 1)
limit x→1
1
2. 1/2 . ------------------ =
cos 1/2 (x - 1)
1
--------- = 1
cos 0
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