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Pertanyaan

h → 0 lim ​ h 4 − h 2 ​ cos ( x + 2 h ) − cos ( x − 2 h ) ​ = ....

  1. -sin2x

  2. sin2x

  3. -2 sin x

  4. sin 2x

  5. 2 sin x

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight h rightwards arrow 0 of fraction numerator cos open parentheses straight x plus 2 straight h close parentheses minus cos open parentheses straight x minus 2 straight h close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell equals cell limit as straight h rightwards arrow 0 of fraction numerator negative 2 sin open parentheses begin display style fraction numerator open parentheses straight x plus 2 straight h close parentheses plus open parentheses straight x minus 2 straight h close parentheses over denominator 2 end fraction end style close parentheses sin open parentheses begin display style fraction numerator open parentheses straight x plus 2 straight h close parentheses minus open parentheses straight x minus 2 straight h close parentheses over denominator 2 end fraction end style close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell row blank equals cell limit as straight h rightwards arrow 0 of fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses sin open parentheses begin display style 2 straight h end style close parentheses over denominator straight h square root of 4 minus straight h squared end root end fraction end cell row blank equals cell limit as straight h rightwards arrow 0 of 2 over 1. fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses over denominator square root of 4 minus straight h squared end root end fraction end cell row blank equals cell 2 over 1. fraction numerator negative 2 sin open parentheses begin display style straight x end style close parentheses over denominator square root of 4 minus 0 squared end root end fraction end cell row blank equals cell box enclose negative 2 sin open parentheses straight x close parentheses end enclose end cell end table

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N i l ai d a r i x → 4 π ​ lim ​ cos x − sin x cos 2 x ​ = ....

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