Matematika

Pertanyaan

Tolonggg caranyaaa .
Tolonggg caranyaaa    .

2 Jawaban

  • limit trigonometri
    10. x -> 0  = 1/(4+3) = 1/7
    11. x-> ~ = 2x/4x = 1/2
    dilampiran 1 dan 2
    Gambar lampiran jawaban DB45
    Gambar lampiran jawaban DB45
  • sudut relasi :
    cos (90° - x) = sin x
    cos (-x) = cos x
    cos (x - 90°) = cos (-(90° - x)) = cos (90° - x) = sin x

    10) Lim (cos (x - 90°) cos x) / (4x + 3x cos x)
    .... x => 0

    Lim (sin x cos x) / x(4 + 3 cos x)
    x => 0

    Lim (sin x)/x . (cos x)/(4 + 3 cos x)
    x=>0

    = 1 . (cos 0)/(4 + 3 cos 0)
    = 1 . 1/(4 + 3.1)
    = 1/7

    11) 1 - cos ax = 2 sin^2 1/2 ax

    Lim x (1 - cos 1/√x)
    x=>~

    Lim 1/(1/x) . (2 sin^2 (1/2 . 1/√x)) ===========> 1/x = 1/√x . 1/√x
    x=>~

    Lim (2 sin (1/2 . 1/√x) . sin (1/2 . 1/√x)) / (1/√x . 1/√x)
    x=>~

    Lim 2 . [sin 1/2 (1/√x)] / (1/√x) . [sin 1/2 (1/√x)] / (1/√x)
    x=>~

    = 2 . 1/2 . 1/2

    = 1/2