The value of limx→∞ x2+2x+32×2+x+53x−23x+2 , is

The value of limxx2+2x+32x2+x+53x23x+2 , is

  1. A

    e1/2

  2. B

    e3/2

  3. C

    e3

  4. D

    none of these 

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    Solution:

    We have, 

    limxx2+2x+32x2+x+53x23x+2=limx1+2x+3x22+1x+5x212/3x1+2/3x=121=12

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