321 



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

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



— = 1 . Moreover, p being less than jo, — is a fraction, and 



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

 guage thus, 



consequently 



«'. 1 1 - {^y^i I (when we take its limits) = «'(! - l-S)=w'S. 



Now, whereas 



(D.' = -ano,@4.iog.-8=-M(?4.|.&c.}, 



log^ 

 ° p 



log.^. 



M+M^^ + s+T+^^V 



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

 side of this last equation, we have the limit of n'l, or 



log. 5 





