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Matematika
frankykawi3
Pertanyaan
tolong di jawab dengan cara terima kasih...
1 Jawaban
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1. Jawaban arsetpopeye
Lim (x - π/4) sin (3x - 3π/4) / 2(1 - sin 2x)
= Lim (x - π/4) sin 3(x - π/4) / 2(1 - cos (π/2 - 2x))
= Lim (x - π/4) sin 3(x - π/4) / 2(1 - cos (2x - π/2))
= Lim (x - π/4) sin 3(x - π/4) / 2(1 - cos 2(x - π/4))
= Lim (x - π/4) sin 3(x - π/4) / 2 . 2 sin^2 (x - π/4)
= Lim 1/4 . (x - π/4)/(sin (x - π/4)) . (sin 3(x - π/4)) / (sin (x - π/4))
= 1/4 . 1/1 . 3/1
= 3/4