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Pertanyaan

N i l ai d a r i x → 0 lim ​ 3 x 3 − 9 − 9 x ​ ​ a d a l ah ...

  1. 0

  2. 1

  3. -1

  4. 1 half

  5. negative 1 half

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A. Acfreelance

Master Teacher

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Pembahasan

limit as x rightwards arrow 0 of fraction numerator 3 minus square root of 9 minus 9 x end root over denominator 3 x end fraction  equals limit as x rightwards arrow 0 of fraction numerator 3 minus square root of 9 minus 9 x end root over denominator 3 x end fraction. limit as x rightwards arrow 0 of fraction numerator 3 plus square root of 9 minus 9 x end root over denominator 3 plus square root of 9 minus 9 x end root end fraction  equals limit as x rightwards arrow 0 of fraction numerator 9 minus left parenthesis 9 minus 9 x right parenthesis over denominator 3 x 3 plus square root of 9 minus 9 x end root end fraction  equals limit as x rightwards arrow 0 of fraction numerator 3 over denominator 3 plus square root of 9 minus 9 x end root end fraction  equals fraction numerator 3 over denominator 3 plus square root of 9 minus 0 end root end fraction equals 1 half

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