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Pertanyaan

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

Nilai 

  1. 4

  2. 2

  3. 0

  4. -2

  5. -4

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A. Acfreelance

Master Teacher

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Pembahasan

limit as x rightwards arrow 0 of fraction numerator open parentheses 1 minus c o s squared invisible function application 2 x close parentheses over denominator x sin space 2 x end fraction equals limit as x rightwards arrow 0 of fraction numerator s i n squared invisible function application 2 x over denominator x sin space 2 x end fraction  equals limit as x rightwards arrow 0 of fraction numerator sin begin display style 2 end style begin display style x end style over denominator x end fraction  equals limit as x rightwards arrow 0 of fraction numerator begin display style sin 2 x end style over denominator 2 x end fraction 2  equals 1 cross times 2  equals 2

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Nilai x → 2 1 ​ π lim ​ 1 − sin 2 x ( sin 2 1 ​ x − cos 2 1 ​ x ) 2 ​ adalah ....

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