finding the Value of an infinite Series , See. 225 
-02.5,979, 07 5,500,- .024,019,1 15,661, jy 
* >022, 334, 101,169, ^- .020^869,976,759^ 
+ •oi 9 ?s 85 > 9 ^ 4 ?° 4 ^ 7 - .018,450,810,232,-^ 
-+ .017, 440, 001, 955,71- .016,534,184,679,— 
4 - See. is in this cafe = x .013,517,763,515, - Sec.; 
that is, the feries 
V 1 * , , »*« 
-.025, 979, 075, 500, ^-.024,019,115,661,^— 
T , 28 7,20 
4 .022, 334,101, 169,7;-. 020, 869, 976, 759,7° 
V 3 * 2 V 3 * 
* .019^85, 984, 048, ^-.018,450,810,232., x — 
4 .017,440,001,955, ^-.016,534,184,679,^ 
istt/ 24 ' ot ; 26 pt / 28 qjz/ 3 ° uu 31 s*y 34 t ^ 36 vv 3S 
^ j OF ^24 j26 -' j2'& ,^30 ^2 " ^34 ,j36 ’ ^38 oCC. IS 
<1)** 
in this cafe = x .0 1 3,5 1 7,763,5 1 5, - Sec. = (becaufe 
v is in this cafe = s, and confequently -,- + is - 1) 
.013,517,763,5 15, - &c. But we before found the 
value of the firft twelve terms of the feries 
HW CV 4 DV 6 EV S 
ss + ; 4 s 6 -i 8 
F V 
+ &x. to be in this cafe = 
i8 2 1 , 1 o 9 5 o 7 9, 5 06. Therefore the value of the whole 
ieries a — — + ^ — ^r+— — + ^ c * aa infinitum is in 
this cafe = .821,109,079,506, + .013,517,763,515, 
You LXVII. Gg - &c. 
