Lim mendekati 0 1 - cos x / x
Matematika
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Lim mendekati 0 1 - cos x / x
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
lim (1 - cos x)/x = lim ((1 - cos x)/x) . ((1 + cos x)/(1 + cos x))
x→0 x→0
= lim (1 - cos² x)/(x . (1 + cos x)
x→0
= lim ((sin² x)/(x . (1 + cos x)
x→0
= lim ((sin x)/x) . (sin x)/(1 + cos x)
x→0
= (sin 0)/(1 + cos 0)
= 0 / (1 + 1)
= 0