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Verified answer
Verified answer
Limit Fungsi Trigonometri.Kelompok peminatan kelas XII kurikulum 2013 revisi 2016.
lim x→0 (x² + sin² 2x) / (x² cos 2x)
= lim x→0 [1 + (sin² 2x) / x²] / cos 2x
= lim x→0 [1 + (sin 2x / x)²] / cos 2x
= [1 + (sin 0 / 0)²] / cos 0
= (1 + 0 / 0) / 1
0 / 0 merupakan bentuk tak tentu. Gunakan aturan L'Hôpital!
= lim x→0 [1 + (2 cos 2x / 1)²] / cos 2x
= [1 + (2 cos 0 / 1)²] / cos 0
= (1 + 4) / 1 = 5