MathematicsEvaluate the following limit, L=  



Evaluate the following limit, L=
 

  1. A
  2. B
  3. C
  4. D

     

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    Solution:

    We have given, L =
    Now, First multiply and divide the numerator and denominator by, x-2
    So we get, L =
    Separate the limit to the both numerator and the denominator, we get
    L=
    Now apply the formula  to the numerator and denominator both,
    So we get, L =
    Further solving we get,
    L = (from  the 2 multiplies in to the denominator and in  the 3 goes into the numerator)
    By applying laws of the indices we get,
    L=
    L =
    Therefore our final value of the given limit is L =
    So, option 1 is correct.
     
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