Question

The maximum value of (log x/x) is

A. (1/e)

B. 2/e

C. e

D. 1

Answer 1

Answer is : A. (1/e)

⇒ f’(x) = log x – 1

⇒ Put f’(x) = 0

We get x = e

F’’(x) = 1/x

Put x = e in f’’(X)

1/e is point of maxima

∴ The max value is 1/e.