142 MATHEMATICAL FORMULA AND ELLIPTIC FUNCTIONS 



6.912 



CO 



x - io * = 2 ^' 



n = i 



00 



2 



7T I ,. v 2 X^ I 



2. -- - (log 2) 2 = / . -^ 

 12 2 V 2n 



6.913 



i 



I. 2lOg 2 - I 



7 ,_ . ^ I 



2. - (log 3 - i) = /. -7- 2 -x 



2 ** n(Qn* i) 



oo 2 



6.914 S r = >'. ( ^L^^^-^: / ) _J_, 



n = i 



2-4-6 ..... 2w 

 #2 = 0.9159656 .... (see 6.901) 



So = 2 log 2 M 2 , -S"-! = I - > 



5_a = log 2 + - - (2^2 + i), 



., 2 I I 10 



02 = -- > 03 = -- - > 



7T 2 3 97T 



10 i i 178 



04 = --- > O_5 = --- ) 



97T 4 5 2257T 





2257T 6 



When r is a negative even integer the value n = - is to be excluded in the 

 summation. 

 6.915 



2 2n ~ 1 n\(n i)! 



