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Pertanyaan

N i l ai d a r i x → 2 lim ​ ( t 2 − t − 2 ) 2 ( t 2 − 5 t + 6 ) sin ( t − 2 ) ​ = ...

  1. 1 third

  2. 1 over 9

  3. 0

  4. negative 1 over 9

  5. negative 1 third

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A. Acfreelance

Master Teacher

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Pembahasan

limit as x rightwards arrow 2 of fraction numerator left parenthesis t squared minus 5 t plus 6 right parenthesis sin left parenthesis t minus 2 right parenthesis over denominator left parenthesis t squared minus t minus 2 right parenthesis squared end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis t squared minus 5 t plus 6 right parenthesis sin left parenthesis t minus 2 right parenthesis over denominator left parenthesis left parenthesis t minus 2 right parenthesis left parenthesis t plus 1 right parenthesis right parenthesis squared end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis t minus 3 right parenthesis left parenthesis t minus 2 right parenthesis sin left parenthesis t minus 2 right parenthesis over denominator left parenthesis t minus 2 right parenthesis squared left parenthesis t plus 1 right parenthesis squared end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis t minus 3 right parenthesis left parenthesis t minus 2 right parenthesis over denominator left parenthesis t minus 2 right parenthesis left parenthesis t plus 1 right parenthesis squared end fraction limit as x rightwards arrow 2 of fraction numerator sin left parenthesis t minus 2 right parenthesis over denominator left parenthesis t minus 2 right parenthesis end fraction  equals fraction numerator left parenthesis 2 minus 3 right parenthesis over denominator left parenthesis 2 plus 1 right parenthesis squared end fraction left parenthesis 1 right parenthesis  equals negative 1 over 9

656

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Pertanyaan serupa

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

134

5.0

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