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If f(x) = x^(alpha) log x and f(0) = 0, ...

If `f(x) = x^(alpha) log x and f(0) = 0`, then the value of `alpha` for which Rolle's theorem can be applied in [0, 1] is a)-2 b)-1 c)0 d)`1//2`

A

-2

B

-1

C

0

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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