The right hand limit of the function   f(x)=|x−4|x−4,    x≠40,    x=4at x = 4, is 

The right hand limit of the function 

  f(x)=|x4|x4,    x40,    x=4

at x = 4, is 

  1. A

    1

  2. B

    -1

  3. C

    0

  4. D

    non-existent 

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    Solution:

    We have,

     (RHL of f(x) at x=4 ) =limx4+f(x)=limh0f(4+h)=limh0|4+h4|4+h4=limh0|h|h=limh0hh=limh01=1.

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