Question

If f (x) = xα log x and f(0) = 0, then the value of α for which Rolle’* theorem can be applied in [0, 1] is

(A) -2

(B) -1

(C) 0

(D) 1/2

Answer 1

Correct option (D) 1/2

Explanation:

For function to satisfy the condition of Rolle’* theorem, it should be continuous in [0, 1]