401 



<) d 3.ra+l ds 



que n z = 4x5; = — 2. 



.t2-1 



3, „ Z 



4'. 6.; 



5 .T* 4- 10x5+ 1 



,^2— 1 



, seu quia 2 



(.<• 



£ _ 1 / 1 I \ 



niversim „ ^^ = 





x+i y = 4 . 2 . 7«+l 



"N, m /'■^'^^^^^ — 2 — m /- n — 2 — mv 



1 . {œ — 1 -x+i J. 



lam vero ex régula satis nota est T — / z oft = ^z + ~.(tz 



L.d'.. L.J 



10 n 



+ 5 



1 .d' 



21 n 



d- 1 1 ,)' Gill ^U ,13 



'2Ö"n ^ + n-« ^ — 273Ö-« ^+-„ ^..jSeU = -;? + 



^ 



1 _ 1 J ^ 1_ (» ).g , 1_ [n ) Z_ 



30 • 2.3.4 "1" 45 



o 2 n 



42 • 2 . 3 . 4 . 5 . 6 30 • 2 ... 7 . 8 "T" 66 • 2 . 3 ... 9 . 10 



7^i^itur-6^— ^ ^4-- -i^—H ^fi+J. _i_L a' 5x> + io.r^+ i 



^ yiur _ o 16 • .:2_ 1 -t- 2 • (x2-l)S (i • x2-l)3 +30 • '* • (5x2 _ 1)5 — 



l2 • 4*. -^ — ^J_ ^ '"^ "^ h • • • fit» si hoc integrale inter limites n t= <x> 



8C n = 7 seu X = cx> Su US = 30 sumitur, ideoque T" = ^ = 899 ' Tie — 



15 , 1_ 2701 S_ 40.J9001 , 4*_ 513136890 ' \ I ^l^ 



2.899 + 6 • 8992 15 • 899i + 42 • 899« "J ^^^ = 899 " V.^ 



'm-i'^f ^-m • (^ - kp • (r5 • 4059001 _ |^, • (^. 5131368901 )))))). 



lam vero Li termini (l-^^ 4- . . + -^, j . 8 = 0,915478731986 030237 



efficiunt, atque terminus subsequens fere = — 16 = 8 



itemque hac serie fit 8 T = 0,000486-862207 38 

 quare jam K^tt = s = 0,915'965594176 6 



Cum vero haec series baud multum convergat, tandemque divergens 

 fiat, alios modos exponamus. 



2) Alter modus per derivata Gammatis procedit. Cum seil. eel. LeGendre 



(Exc. II. p. 52) invenerit fLra = li-i- ^^2 + ^^3 -\- . . . = Z" a 

 (vel potius = L r^a) atque 



.1 i_ 1 

 ^_ ^ + 52 +92 + 132 +••• 

 rl 11 \ ~ 



1.32 +TÏ + ÏÛ+-J 



