SBMPTN

Pertanyaan

tolong bantu no 8 ya kak :)
tolong bantu no 8 ya kak :)

1 Jawaban

  • Lim (√(1 - cos (x - 2)) / √(x^2 - 2x)
    = √{Lim (1 - cos (x - 2))/(x^2 - 2x)}
    = √{Lim 2 sin^2 1/2 (x - 2)) / x(x - 2)}
    = √{Lim 2 . (sin 1/2 (x - 2))/x . (sin 1/2 (x - 2))/(x - 2) }
    = √{2 . (sin 1/2 (2 - 2))/2 . 1/2}
    = √(2 . (sin 0)/2 . 1/2)
    = √(2 . 0/2 . 1/2)
    = √0
    = 0