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If f(x) = {:{(x^(alpha)logx,","xgt 0),(0...

If `f(x) = {:{(x^(alpha)logx,","xgt 0),(0,","x=0):}` and Rolle' theorem is applicable to f(x) for `x in [0,1]` then `alpha` may be equal to

A

`-2`

B

`-1`

C

0

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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