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Pertanyaan

N i l ai d a r i x → 0 lim ​ x 2 2 − 2 cos 2 x ​ a d a l ah ...

  1. 4

  2. 8

  3. 16

  4. bevelled 1 half

  5. bevelled 1 fourth

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Pembahasan

limit as x rightwards arrow 0 of fraction numerator 2 minus 2 cos 2 x over denominator x squared end fraction  equals limit as x rightwards arrow 0 of fraction numerator 2 left parenthesis 1 minus 2 cos 2 x right parenthesis over denominator x squared end fraction  equals limit as x rightwards arrow 0 of fraction numerator 2 left curly bracket 1 minus left parenthesis 1 minus 2 sin squared x right parenthesis right curly bracket over denominator x squared end fraction  equals limit as x rightwards arrow 0 of fraction numerator 2 left parenthesis 2 sin squared x right parenthesis over denominator x squared end fraction  equals limit as x rightwards arrow 0 of fraction numerator 4 sin squared x over denominator x squared end fraction  equals 4 limit as x rightwards arrow 0 of open parentheses fraction numerator sin x over denominator x end fraction close parentheses squared  equals 4.1 squared equals 4

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