Matematika

Pertanyaan

Lim x -> 0 tg x - sin x per x . cos x

1 Jawaban

  • Bab Trigonometri
    Matematika SMA Kelas X

    lim      ((tan x - sin x) / (x cos x))
    x→0

    = lim    ((sin x / cos x - sin x) / (x cos x))
       x→0

    = lim   ((sin x)/x) . (1/cos x - 1) . 1/cos x
       x→0

    = 1 . (1/cos 0 - 1) . 1/cos 0
    = 1 . (1/1 - 1) . 1/1
    = (1 - 1) 
    = 0

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