limx→111-x-31-x3 is equal

limx111-x-31-x3 is equal

  1. A

    1

  2. B

    -1

  3. C

    2

  4. D

    -12

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    Solution:

    For x1,f(x)=11-x-31-x3

    =1(1-x)1-31+x+x2

    =1(1-x)·x2+x-21+x+x2=(x+2)(x-1)(1-x)1+x+x2

    =-x+21+x+x2

     so   limx1f(x)=-limx1x+21+x+x2=-1

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