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Consider the following three statements for the function f : (0, \infty) \to \mathbbR defined by f(x) = |\log_e x| - |x - 1| :(I) f is differentiable at all x > 0 .(II) f is increasing in (0, 1) .(III) f is decreasing in (1, \infty) .Then, | Watch the step-by-step video solution for this NIMCET PYQ.