If limx→1 x4−1x−1=limx→k x3−k3x2−k2 then k= 

If limx1x41x1=limxkx3k3x2k2 then k= 

  1. A

    43

  2. B

    83

  3. C

    23

  4. D

    none of these 

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    Solution:

    we have,

    limx1x41x1=limx1x414x1=4(1)41=4 

    and, 

    limxkx3k3x2k2=limxkx3k3xk×xkx2k2=limxkx3k3xk+x2k2xk=limxkx3k3xk÷limxkx2k2xk=3k22k=32k 

     limx1x41x1=limxkx3k3x2k24=3k2k=83

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