( 25J 



from wliicli appecars, i. a. dial for «' ^ cc, — approaches to 6^~*, lience 



a; 



it approac'lies rapidly to 0. 



Let us now differentiate the expression (6) for — with respect 

 to .v. We lind then, logarithmicall}^ differentiated : 



(IT T ^ . r RT 



dic 



dJ 



(,.-..') 



dny 



dw,^ 



I 'i 



«.7; «,;; d.v 



We find therefore for 7== T^,, /■=,/' =0,wliere therefore 



RT 



41-..) 



/i^2' dii\ 



may be repkiced by — , and where — is evidently 



' ,r(l — .?;) dx 



d^T\ _(dT\ 





+ 



2(t.r\ 1 

 1 ^JT^^ V d,r 



2\ \d.v J „ {,v — ,v') R'J\ 



Now we must calculate the Aalite of 



From (G) follows immediately : 

 RT 



dx' 



dx' x{l - x) 



dx 



RT 



..'(1— ') 



— 2a' 



"\-^'^' (^^'-j — "'1) 



(") 



or 



^ 2«,r(l— .,.•) "', — "\ 



^ ~ x{l—~^ 2«',«'(1-V) 



i2r ^ ?r. 



hence for T z= 2\ : 



'(/,/; \ X 





1 



