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Pertanyaan

Nilai x → 0 lim ​ sin 2 x tan 2 x 1 − cos 8 x ​ = ...

Nilai  = ...

  1. 16

  2. 12

  3. 8

  4. 4

  5. 2

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

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Pembahasan

begin mathsize 12px style limit as x rightwards arrow 0 of fraction numerator 1 minus cos 8 x over denominator sin 2 x space tan 2 x end fraction  equals limit as x rightwards arrow 0 of fraction numerator 2 sin squared 4 x over denominator sin 2 x space tan 2 x end fraction  equals limit as x rightwards arrow 0 of fraction numerator 2 times sin 4 x times sin 4 x over denominator sin 2 x times tan 2 x end fraction  equals 2 times limit as x rightwards arrow 0 of fraction numerator sin 4 x over denominator tan 2 x end fraction times fraction numerator sin 4 x over denominator sin 2 x end fraction times fraction numerator 4 x over denominator 4 x end fraction times fraction numerator 2 x over denominator 2 x end fraction  equals 2 times 2 over 2 times 4 over 2 times 4 over 4.2  equals 8 end style

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