INFINITE SERIES 143 



00 



7T 



' 7- I = 



=i 



4. 



2__l!i_L__ 



n (2n-l) (2H+2) 



6 2 r - f i)" 



' 



(2 - I) (2 + 2) 



00 



7. i- 



oo 



I_ A . 



2 *7T" 



6.916 



If m is an integer, and n = m is excluded from the summation: 



2 . . 



4W 2 



n=i 



6.917 



CO 



n=2 



n i 



I 



00 



3-5-7 



2 . i + V3 



6 - 918 log 



6.919 -(i - log 2) = ,{ log{ : -) - i 



6.920 



-, + -. + ^ + .... = 2.71828. 

 i! 2! 3! 



