The value of limx→∞ x2sin⁡1x−x1−|x|, is

The value of limxx2sin1xx1|x|, is

  1. A

    0

  2. B

    1

  3. C

    -1

  4. D

    none of these 

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    Solution:

    We have,

    limxx2sin1xx1|x|=limxx2sinx1x1x=limxsinx1x11x11=1101=0

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