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