226 Dr. Todd and Mr. Owen on the Influence of 



Now 



KT- 1+ H-I) + ¥B)' + 



-i-^T 





+ i 4. •••tt+»Y 1+ ^- > f».(i+B)-t.a. 



|^ \ # / Jo 



Substituting in (iii.) and remembering that 



'a 



i 



'o 

 we get 



.1.3 1.3.5 

 ^ 2 ' 2 2 .^ 4 2 3 .^ 



= ie- a: i 2 .^r 1 J 1-^-^-2 



+tl ^te)p (1+ .)-j ; -> s , (1+S) - MS ., ! | 



I£ we take 



S„ = i e -^* r ^l-^+i i ^-....]=2a )M 



then a»-n _ 2n + l 



a» " 2^! 2 ' 



which approaches cc as n approaches co . 

 Hence S» is divergent for all values of x. 

 But we can make 



i 



*1 



as small as we please by taking large values of # 1? for 



f *- ai .d*-S li =le- x i , .*i 



\n 

 t 



R w say. 



