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Nilai adalah ....

Nilai begin mathsize 14px style limit as x rightwards arrow infinity of space fraction numerator 2 x squared plus x plus 3 over denominator open parentheses x minus 2 close parentheses open parentheses x plus 1 close parentheses end fraction end style adalah ....

  1. -3

  2. -2

  3. 0

  4. 2

  5. 3

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A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

begin mathsize 14px style limit as x rightwards arrow infinity of space fraction numerator 2 x squared plus x plus 3 over denominator open parentheses x minus 2 close parentheses open parentheses x plus 1 close parentheses end fraction equals limit as x rightwards arrow infinity of space fraction numerator 2 x squared plus x plus 3 over denominator x squared minus x minus 2 end fraction cross times fraction numerator 1 over x squared over denominator 1 over x squared end fraction  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow infinity of space fraction numerator fraction numerator 2 x squared over denominator x squared end fraction plus x over x squared plus 3 over x squared over denominator x squared over x squared minus x over x squared minus 2 over x squared end fraction  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow infinity of space fraction numerator 2 plus 1 over x plus 3 over x squared over denominator 1 minus 1 over x minus 2 over x squared end fraction  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 plus 0 plus 0 over denominator 1 minus 0 minus 0 end fraction equals 2 end style

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