Matematika

Pertanyaan

lim 1-cos^2(x-2) : 3x^2-12x+12 dimana x→2 adalah...

1 Jawaban

  • Limit Trigonometri

    lim(x->2)  (1 -cos² (x-2)) / (3x² -12x +12)
    = lim(x->2) sin² (x-2)  / (3x - 6)(x-2)
    = lim((x->2).sin² (x-2) / 3(x-2)(x-2)
    = 1/3 . lim(x-->2) sin²(x-2)/(x-2)²
    = 1/3 (1)
    = 1/3

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