Full text: [Nachträge zur reinen Mathematik] (10. Bandes 1. Abteilung)

51 
SUMMATION EINER DIYERGIRENDEN REIHE. 
383 
3. 
Hieraus folgt, dass für x = 1 
\ = c 
8' =-c+i 
r = +3c-2 
= - 13c+8 
£ IV = +73c— 44 
V = — 501c+ 300 
V I = -T-4051C— 2420 
e vn = — 37633c-f 22460. 
4. 
Mithin der Werth von £ für x — 1 — to 
[3] 
/. | | 3 a , 13 s i 
c\l +(0-fya> +-g-«> + 
-(^to + to —1 g- (O +-24 w H 
73 4 
24 W 
501 CO 5 
300 
120 
CO 
120 
5, 2420 
' 720 
4- etc.j 
to 6 -[- etc.j 
Diese Reihen convergiren, wenn to < 1. 
Endlich ist 
[4] 
10 CO (O + | U> 3 + e tc. 
1 -j- w + fM 2 + CtC. 
8“ 
io 
37 
1008 
17 
3360 
7 
co . . . 
für to=l; also 
[I —]c— 0,1667 
1 666 
125 . 
778 
367 
5728
	        
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