192 
x F(u) log u 
2 : — =r O (log x . ( log log x ) n ~ x ). 
u 
m 
Bewijs. Zij 
log log x — x^i 
log log u — w 2 
en 
x a x m x J 1 ^ 
g(x) = 2 I(u) = 
U='S 
u =E / 
gesteld. Dan is 
* F(u) 
9 1 («)= 2 — 
u = 2 _ 
t: ^ u m 
_ ^ ff *) 
log x 
u = 2 
o 
o-.m /)» n — 2 
11 / tO 2 
log x 
ff 1X1 , V , X 1 
= r 4- ^ ff(“M— r 
JL u = 2 j 1 
M 
(m + 1) 
m 
= O ( -y J -)- ^ j , h^l 
b log x J u — 2 r log u 
u m u„ n - 2 
lil I 
log u 
1 
mu m 
+ i 
+° - 
[-2 
um 
= O (V -1 ) + - 2 
a * — 1 u , n ~ l 1 w. n 2 
_ * b o 2 -? 
m u — 2 U log u „ — 2 w % 
a l &’ 3 n , 
O (^~1) + b o (x 2 n~l) -f O («,»-!) 
min \ 
ax 
= — — + ^ K”- 1 ) 
rnn 
en 
* F(v) Zoo u x 
v = - jffj (m) — ff x (m — 1)1 Zo# 
«= 2 __ u — 2 
u= / 
M 
= ffi M &>ff [«] — 2 g x ( u ) logf 1 -f - 
u — 2 \ u y 
axn log x 
— b 0 (x/ l ~ l log x) 
mn 
Ml /I 
2 ' _ 
— 2 
u — 2 ( mn 
+ o(vi - + ö - 
u 
u 
