The largest value of the non-negative integer a for which limα→1 −ax+sin⁡(x−1)+ax+sin⁡(x−1)−11−x1−x=14, is 

The largest value of the non-negative integer a for which limα1ax+sin(x1)+ax+sin(x1)11x1x=14, is 

  1. A

    2

  2. B

    3

  3. C

    4

  4. D

    5

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    Solution:

    We have.

            limα1ax+sin(x1)+ax+sin(x1)11-x1-x=14

    limα1sin(x1)x1a1+sin(x1)x11+x=14

     1a22=14 a22a=0a=0,2

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