( 478 ) 
a al Fi 
equal to [42 so that we have «, = |/*. We then observed 
C C 
(p. 485) that if such a limiting value for x exists, our conclusion 
that g!'=0 must possess a minimum value which is negative, can 
no longer be considered as proved; but we omitted the observation 
that the thesis that » would have to be < 6,, may not be considered 
as proved any longer either. If viz. the substitution of «=, should 
make the first member of (g'”) negative, whereas, as we saw before, 
the substitution of «=O makes the first member of (g'") positive, 
then a value of 2 must exist which makes (g"’)—O both on the 
branch of (g"’) with the negative sign for the third term as on that 
with the positive sign. Then it is therefore unnecessary, that (@'’) 
possesses a minimum value, and there is no reason for the positive 
sign for the third term, and so no necessity for v being smaller 
than 5. 
Let us seek the condition for: 
VY ja,—c (1—a,)*} 
n— 1— ney di 0 
: a 
or 
a, i; je 
LA aM (1 —ay)’ 
AE Rr 
n a 
Cc 
- Let us write; 
a a, alg 
en 1» A it 
(la) HSS — ay (le) 
or 
a det 
~ = 2g (Lary) + 4 i 2, (1—2,) 
or 
a a, 
= — — (1l—a,)?}. 
Cc “9 c ( 9) 
The condition put above, becomes then : 
n—1 1 
im < 7 a, (1 )? 
(lS 
A g 
or 
n° 
a — (1—2,)’ << (n—1) 
or 
