54 Art. 4. — M. Kuniyeda : 



and hence 



</,{d) 6(6) ' À 



_ _6(a) V{^2a"{6)] , 



~ did) ' fT'(d) ^ ' 



tj{d) ' a'{d) 



since \/<^" < <^' and -A'ß\ < 1, as ^ v 1 and « > 6. 



Thus we obtain f («) < (/>{()) 



as /-^ X . 



32- (iii) Let fj = Axll—J^x)}, where A > 0, Ji > and /^ < 1, 

 In this case 



and # = gives 



fZa- 



^ - -^^'- ' 





In § 16, w^e have seen that 



— ^^r-^ + ^ '^ —r . xr' < 1. 



p 



Hence, observing that xn" ro _ (^i + ö)^', we have 



p Xft' 



Therefore the equation for x = a takes the form 



-<T'{x?)t{x) - X, 



where t r^ j- > 1 ; and hence 



XfJ 



J t{a) ^ ' 



whence f («") = —4 — /5 , ^ f^ 



A^ 



