Tentukan limit X mendekati phi/ 2 1-cos 2x dibagi 2 cos x
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Tentukan limit X mendekati phi/ 2 1-cos 2x dibagi 2 cos x
1 Jawaban
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1. Jawaban Anonyme
Bab Limit
Matematika SMA Kelas XI
lim ((1 - cos 2x) / (2 cos x)
x→π/2
= lim (((1 - (2 cos² x - 1))/(2 cos x))
...x→π/2
= lim ((2 - 2 cos x . cos x)/(2 . cos x))
...x→π/2
= lim (2 (1 - cos² x))/(2 cos x)
...x→π/2
= lim ((sin² x)/(cos x))
...x→π/2
= sin (π/2) . tan (π/2)
= tak terdefinisi