Lim x -> 0 tg x - sin x per x . cos x
Matematika
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Lim x -> 0 tg x - sin x per x . cos x
1 Jawaban
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1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
lim ((tan x - sin x) / (x cos x))
x→0
= lim ((sin x / cos x - sin x) / (x cos x))
x→0
= lim ((sin x)/x) . (1/cos x - 1) . 1/cos x
x→0
= 1 . (1/cos 0 - 1) . 1/cos 0
= 1 . (1/1 - 1) . 1/1
= (1 - 1)
= 0