Matematika

Pertanyaan

Nilai lim (x→0) tan² 3x/1 - cos x =.....

2 Jawaban

  • = lim x→0, tan²3x / 1-cosx
    = lim x→0, tan²3x / 1-(1-2sin²½x)
    = lim x→0, tan²3x / 2sin²½x
    = lim x→0, (3)² / 2(½²)
    = lim x→0, 9 / 2(¼)
    = lim x→0, 9/1 ÷ ½
    = lim x→0, 18
  • Lim x->0 (tan^2 3x)/(1-cos x)
    Lim x-> 0 (tan^2 3x)/2 sin^2 1/2x
    = (3)^2 / 2(1/2)^2
    = 9 × 2
    = 18

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