321 



tion (B). By changing (/j), a quantity extremely great, into 

 (n), a quantity indefinitely great, we have n'= («'- 1) ; also, 



,_ . = 1 . Moreover, p' being less than /), - is a fraction, and 



the limit of ( — )«'= unity, which is expressed in algebraic lan- 

 guage thus, 



consequently 



«' • 1 1 - (-j"^ } (when we take its limits) = n{\ - r^)=«'S. 



Now, whereas 



(^)L — s; log (e) 4 = ,„g. — j=. M{?4 4.&C.}, 





n I = ^ 



M_M(|44..e.)' 

 log.^. 



Taking limits, by omitting 8 and its powers in the right hand 

 side of this last equation, we have the limit of «'g, or 



4-©-}=^. 



