SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIQUE ETC. 797 
D. — LIMITED EXPANSION OF THE MAIN EXPRES- 
SIONS FOR SMALL VALUES OF THE RATES e AND : 
Limited Expansions 
240. For numerical applications it is useful to have the 
limited expansions for the most important of the preceding 
expressions (!). Results only are given below, as the calcula- 
Hons offer no difficulty. 
General Model 
(240-1) (i-p) 0 1-0, (i-p)+0, (i-p)+ 30, (1-p) 
(240-2) R, oo (1-0, p IR, 
(2403) p(B) [1+0, [i-p)}B (0) 7" 
(240-2) (8) = [1+0,i]8 (0) 
(240-5) © Ce ©, [r-0,(;-p)-250,(i-p 
(240-6) © o 0,[1-0,i-250,7] 
(!) Relations (220-14), (220-2), (231-3), (223-7), (231-. 
(224-2), (225-3), (226-1), (226-2), (226-3), (228-12) and (229-2 
Il 
, Allais - pag. 101