[ 326 ] 



of z and x is the ratio of the fluxions of z and *•, and it follows 

 therefore that when « is increafed Jine liinite, the limiting value 

 of f. — ^. Alfo for the famr reafon — _—,— = —, &c. 



Whence the limiting value of - = — = ^, becaufe f. = ^ 



''. XX X* X X 



r c b z . . b z 



of — = ~ — = -T-, becauie —-= —* 

 X* xx'^ x' X x'^ 



&c. &c. 



«. « — I 



Whence the limitina; value of z + n a + l> + 



* I. 2. 



' — — H- c + &c. when « is increafed ^ne limite is z + 



— + 4-, &c. And becaufe when the former feries terminates 



I I. 2. 



its value \% z -V z: and when it converges its limit is alfo z + z 



',' z-\- z = %-\ + H ^c. when the fenes terminates or 



I ' r. 2.' 



converges. When it does not converge, nothing can be afferted of 

 it, becaufe we cai-not reafon concerning a limit which does not 

 exift. 



Problems 



