nilai lim x --> 0 (x^2 tan 2x) : (x-x cos 4x)
Matematika
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nilai lim x --> 0 (x^2 tan 2x) : (x-x cos 4x)
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
Lim (x² . tan 2x) / (x - x cos 4x)
x→0
= Lim (x² . tan 2x) / (x (1 - cos 4x))
...x→0
= Lim (x . tan 2x) / (1 - (1 - 2 sin² 2x))
...x→0
= Lim (x . tan 2x) / (2 . sin 2x . sin 2x)
...x→0
= (1 . 2) / (2 . 2 . 2)
= 1/4