  We show that the distribution of the maximum of the fractional Brownian
motion $B^H$ with Hurst parameter $H\to 0$ over an $n$-point set $\tau \subset
[0,1]$ can be approximated by the normal law with mean $\sqrt{\ln n}$ and
variance $1/2$ provided that $n\to \infty$ slowly enough and the points in
$\tau$ are not too close to each other.
