the Value of a slowly converging Series . 
= 0-06230,76923,1 
= 0*04686,4,2857,1 
0 '° 354 2 > 94 000 >g 
0*02690,42006,3 ; 
1 9S 
*3 
a’ 4 
14 
IS 
j: 8 
16 
- " 
And the sum is 0*17150,5578 6,5, which call B, Then will 
Dx'* = x**x I- + - 2 - + JL + JL). 
\ *3 “ 14 ' IS ' 16 I 
x 
,14 
8. It now remains to find the value of + + 
17 8 18 11 
A x l6 a : 18 x i0 
19 « “ + “IT + “IT + a d infinitum, or of its equal, x 32 x 
the sum of these two series, 
& 
X* 
JC 6 
-** I 
v io 
I 
V 1Z 
— , <&. 
22 7 
17 
FT 4 
I 9 
20 1 
' 21 
* 
, 2Jt 4 
« 18 
* 
+ ‘ 
2 X 8 
20 
* 
+ 
2-Z** 1 W 
— + 
Here, again, the value of the first series may easily be computed, 
by the theorem referred to in Art. 4, it being = — - — — | — — • . 
17 ^ ”J" xx i 'j • 1 8 
^ I *-2 ' X 6 . I.2.3 o ** , 
+ x7.18.19 (i -f ^) 3 ' 17. 18. 19. 20 (i+xr) 4 * 1K 
numbers, 
MDCCXCVIIL 
C c 
