SBMPTN

Pertanyaan

tolong bantuannya ya.
(soal limit trigonometri)
tolong bantuannya ya. (soal limit trigonometri)

1 Jawaban

  • misal
    x = ∞
    a = 1/x --> x = 1/a
    x = ∞ -->a = 0

    lim(x ->∞) sin 3(1/x)  / (1- cos 2(1/x)), (x²)(sin 1(1/x))
    lim(a->0)  sin 3a / ( 1 - cos 2a) (1/a)² (sin a)
    lim(a->0)  {(sin 3a)(a²)} / { 2 sin² (a). sin (a) }
    = (3a)(a²)/(2(a)²(a)
    = 3a³/2a³
    = 3/2