TABLE 6. 

 SERIES. 



( x + y )n = x n + HL x n-l y + n ^ V *n-2 ^2 + . . . 



LI x nm ym+ 



Wl ! 



(I ). = IIW+ 0ti^ (-H-)' + --- + ('j* t '^ + ... 



(n- 



a;)" 1 = i 



*)~ 2 = i T 2o;+3o; 2 T 



/<+*)-/ W+*/' () + ^7" ()+.;.. + D /<(*)+;.. ^'"series. 



Maclaurin's 

 ),"t* series. 





. 



x i i /x iV I A J V 



log (i + x) = x - \tf 



w 3! 5! 7! 



cos a; = ^ (e ia5 + e->) = i_^-+L_|_ + . . . = x _ versin a; 



7T I I I 





SMITHSONIAN TABLES. 



