Question

If () = {, ≤0 0, > 0 , then at x=0

Answer 1

Answer

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Correct option is

C

f is not differentiable at x=0

x→0+limxxa=axa−1

=x1−aa

In the denominator 1−a>0 since 0<a<1.

Now when substituting the limit we get it as undefined,hence the given function is not differentiable at x=0.