Matematika

Pertanyaan

limxmendekati 0 1-cos x

1 Jawaban

  • limit  trigonometri

    lim (x->0) (1 - cos x)
    sub x  = 0
    lim =  (1 - cos 0) = 1 -1= 0

    jika lim (x->0) (1 - cos x) / x
    = lim (x-> 0) { 1 - (1 - 2sin¹/₂ x. sin ¹/₂ x) } / (x)
    = lim (x->0)  (2 sin 1/2 x . sin 1/2 x )/ x
    = 2(1/2)(1/2) (x)(x) / (x)
    = 1/2 (x)
    x= 0 --> limit = 1/2 (0) = 0

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