The value oflimx→2 x3−4xx3−8−1−x+2xx−2−2x−2−1, is

The value of

limx2x34xx381x+2xx22x21, is

  1. A

    12

  2. B

    2

  3. C

    1

  4. D

    none of these

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    Solution:

    We have, 

    limx2x34xx381x+2xx22x21=limx2x2+2x+4x(x+2)x(x+2)x22(x+2)x21=limx2x2+2x+4x(x+2)(x+2)(x2)x21=limx2x2+2x+4x(x+2)1=1281=12

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