The value of  limx→0 x2sin⁡xtan⁡x , where [⋅] denotes the greatest integer function, is

The value of  limx0x2sinxtanx , where [] denotes the greatest integer function, is

  1. A

    0

  2. B

    1

  3. C

    limit does not exist 

  4. D

    -1

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    Solution:

    sinx < x < tanx
    xtanx<1,  xsin x>1 x2sin x tan x<1 limx0x2sin x tan x=0

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