Vz 
and ea = I’, (d,) 
2 dg=1 
For d,< Va we hav 
a log d, 
log log id = log log x + log (1 — ro 2 
d, log. © 
— #4 OI, 
if w, has been again substituted for og log a 
gx; consequently 
wv \"2—1 No— 
log log — log log — = = ete + O(a), 
ie d 2 2 
1 
1 1 log d, eee Lo log d, 
; ee log e loge ao 
log — log # . log — x 
d, d 
and 
1 
No—1 Ng—2 
ES O| log lo 
(u oa 7 ol ae ( vi) en! 2G ore? 6 &,"3—llogd, 
= ys z dog x log @ AB = 
log — 
wv d, 
(log a) 
It has been assumed that formula (1) holds good for n=n,, hence 
1 
4 a m Ng-—l w \No—2 
- ; als) (i log =)" + Of log ly = ) ; | 
aq a = 
AES Ge 
TI log ~ 
dà © i d, 
sE 
za ao en + O(e,"2—?) £0 arl log d, 
1 log x (log x)’ a)? 
dm 
where a, has been. substituted for 
Bess ALD 
TE 
v2 =, vm 
If this result is substituted for the value found for T,, we find 
1 1 
Ee aan grad a ey 40 (ames! ule 5 £(d)| En 
log « dei aes dy=1 1 
ql 5 … d=) dm 
1 
(log wv) 7 d, =I] 
dh 
(en Ke |Fud,)| log 
| 1 eN 
d 4 m 
