Q24 of 64 Page 10

Choose the correct answer.

If then at x = 0, f(x) is


Given that


Checking continuity and differentiability at x = 0,


LHL:



LHL = f(x=0)


Hence, f is continuous at x = 0.


LHD at x =0,




RHD at x =0,




∵ LHD = RHD = f(0)


∴ f(x) is differentiable at x =0.


So, option A is correct.

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