[ 559 ] 
y t ** 3 iX - 
4- 4* the value of F in art. y. when 
both feries converge. 
Therefore - — 4 
■ + 
A* — X~~ x 
v 3 v J 
+ - — &V. is 
ir 
then = 2 PX4-£X* — — . 
1 2.3 
From whence, by taking x equal to — i, we have 
.11 8 A3 . n 
8 Z> 3 
4 ^P + 4 ^ 3 — o j and, confequently, P = 
2.3 J 
2 a 
V - 1 
, as before found. 
And, by taking x equal to - 1 — , we find 
v — I 
III II 
= 2^P-f^ 3 — 
4 a 3 a 3 a * 
23 3 /-i 1/-1 2.3 /-x 
2 “/ — x 
111 • a 1 
Therefore q is = — . 
7 4 
8 . 
From what is done above, it evidently follows, that 
II 
£ . 2PP , 2.8 
P IS — , 
3 3 - 4-5 
— P 
®C. 
7 . b z ? . Sb*P , 3.32 b 6 
—T~ + T~T + 
IV II 
— Q_ = b 1 ? + 
3 - 4-5 3 - 4 - 5 « 6 - 7 * 
(Sc. 
11 3.2 b + 
3-4 
IV 
^ P 4 4 5,8 1 8 
CSe. 
3-4 ^ 3 - 4-5 
* j 
