Bremiker — Errors Affecting Logarithmic Computations. 43i 



The product of these 



(1 — ^"i) (1 — s''2) .... (1-^*V) 



V 



is to be changed into a series of powers of z. [ind so instead 

 of the divisor 



we assume the series of ascending powers of z, 



\ -{- A ^z -\- A .^z^ + .... Atzt-\- .,,. 

 of which the general term is 



In pLice of the numerator, if vve multiply its factors, we Have 

 the series 



+ +(-!)« 



and if this series be multiplied by the series foi; 



(1 - ^r*' 



the coeiBcient of the term ^t will be 



