Matematika

Pertanyaan

tolong di jawab dengan cara terima kasih...
tolong di jawab dengan cara terima kasih...

1 Jawaban

  • 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