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Materi: Limit TrigonometriL'H = L'Hospital
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Mapel : MatematikaKelas : XI SMA
Bab : Limit
Pembahasan :
Lim [x » 0] (Tan 2x - Sin 2x)/x³
Lim [x » 0] Sin 2x(1/Cos 2x - 1)/x³
Lim [x » 0] Sin 2x (1 - Cos 2x / Cos 2x)/x³
Lim [x » 0] Sin 2x (2Sin²x / Cos 2x)/x³
Lim [x » 0] 2(Sin 2x / 2x) (2Sin²x / x²) (1/ Cos 2x)
= 2 . 2 . 1
= 4