5C T>E SERIERVM 



■modi fcries nlhil nmpliiis habcant difncultaris , nlias con- 

 iideremus ,4n qnibus X non fit fundio , \cl lationalis , ^dl 

 integra ipfius .v. 



Problema. IX. 



§. 55. Inucnirc tcrminiim gcntralcm (eriei , cuius 

 quilibct tcrminus acquetur pracccdcnii vna cum fiindionc 

 quacun:iue iplius iudicis. 



Solutio. 



Sit tcrminus indici x rcfpundcns — j , ciusque an* 

 jtcccdcns 



dy j^dy d ^ y d *y 



Lex autem protjrellionis fit / zz. -> -|- X , vnde fiet 



Jiy jUy d'y ''*>_, ^^^ 



quae aequatio rclbJuewir ope rcgularum , quas autc aliqnod 

 tempus tradidi. Scilicct pouendo z " pro -r^ furmctur 

 haec expreffiG -. 



Zzr z--,,-\--,- — -f-ctc. - i-e-^ 

 cuius qnacrantur omncs fi(flores , qui crunt piimn z ; rc- 

 liqui in hac foiww gcncrili contintutur : zz -\- ^kk-mx. 

 Ex fiftore z-o orietiu: nutcm hacc pars iutcgrahs ; 



^j—JXdx -+- ctc. 

 Ex f;t(flore autcm zz-\- ^kk-ni^ fi -comparctur cum {ox~ 

 mul.i zz-ikz Cof (^-\-kk , fict /: — 2 /: -tt , ct col". Cp) - o ., 

 \niit$rr 90°., idcoLiuc littcrat §0J ct i)i 'ta dttcrmiiu- 

 buntur ob A— o j B::^ i , Czz 'J^ , D— ~ ctc. 



