Full text: welcher die Differential-Rechnung enthält (Erster Theil)

von der Summirung der Reihen. 497 
Summirt man nun wieder so wird, weil a xx ~ Ax — 
a Ax 
y‘a*‘ 
-j- y J a x " 4“ y tll a x '" 4“ rc. y u a* 
a Ax 
a Ax a Ax , 
a Ax 
— f Ay'a* 
' 4- 4- 
ay u aT 4- 
V a Ax 
a Ax 
a Ax 
Ay™ a* 
a Ax 
oder wenn man auf der einen Seite ya* — ya* — 
a &x a Ax 
Aya? -f &y a * addirt, und alSdeun beide Reihen 
a Ax a A.v 
einander gleich seht, so wird 
(ya*4-Vä?‘ -\-y" a x "-\-y 4// a K "' -f - :c.y™a*)-> N a*iz= 
sya* y* a x ' -f• y°a x " -j~y /,/ a x " -j- jc.y N a* \ -u- 
v ~ 7** " rj 
ya? 4" Aya*--— f Aya? -s- Ay 1 a?' Aj/V' 
a Ax a Ax a Ax ' a Ax a Ax 
-j- rc. A,y" a*>^ und hieraus also 
) 
a Ax 
(yr+/a*+y'**" 4- rc. /V)/i 
i \ == 
a )/ 1 —__L\ 
' \ a£* ) 
y 1 * »—y a* -j- Aya* —- i (^A^ä* -j” Ay r a* -j~ 
frAx ß&x a Ax 
Ay° a?" -f- Ay n a x '" + rc. Ay* a" und indem man 
durch i'— r dividirt 
'.Ax 
ya* + ya*' -\- y u a?” -f- rc. ^ <r" --- 
I ly™ a n+ ~ Ax — ya* 4“ Aya') — 
a Ax — i / 
Tempelhoffs Analysis, i, Theil. I i
	        
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