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Nilai dari x→2lim​(x−22x2−8​)+(2x−4x2−2x​)=....

Pertanyaan

N i l a i space d a r i space limit as x rightwards arrow 2 of open parentheses fraction numerator 2 x squared minus 8 over denominator x minus 2 end fraction close parentheses plus open parentheses fraction numerator x squared minus 2 x over denominator 2 x minus 4 end fraction close parentheses equals....

  1. 5

  2. 6

  3. 7

  4. 8

  5. ~

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

limit as x rightwards arrow 2 of open parentheses fraction numerator 2 x squared minus 8 over denominator x minus 2 end fraction close parentheses plus open parentheses fraction numerator x squared minus 2 x over denominator 2 x minus 4 end fraction close parentheses  equals limit as x rightwards arrow 2 of fraction numerator 2 left parenthesis 2 x squared minus 8 right parenthesis plus x squared minus 2 x over denominator 2 x minus 4 end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 x squared minus 2 x minus 16 over denominator 2 x minus 4 end fraction  equals limit as x rightwards arrow 2 of fraction numerator left parenthesis 5 x plus 8 right parenthesis left parenthesis x minus 2 right parenthesis over denominator 2 left parenthesis x minus 2 right parenthesis end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 x plus 8 over denominator 2 end fraction  equals limit as x rightwards arrow 2 of fraction numerator 5 left parenthesis 2 right parenthesis plus 8 over denominator 2 end fraction  equals 9

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