-1/32 -1/16 -1/8 -1/4 -1/2S=(1+2 )(1+2 )(1+2 )(1+2 )(1+2 ) 注:分别是2的负32分之1,2的16分之1........
热心网友
分子分母同乘以1-2的负32分之1,利用平方差公式可求得1/(2-2*2负32分之1)-1/32 -1/16 -1/8 -1/4 -1/2S=(1-2 ^-1/32 )［(1+2 ^-1/32 )(1+2 ^-1/16 )(1+2 ^-1/8)(1+2 ^-1/4)(1+2^-1/2 )］/(1-2 ^-1/32 ) =(1-2 ^-1/16 )(1+2 ^-1/16 )(1+2 ^-1/8)(1+2 ^-1/4)(1+2^-1/2 )/(1-2 ^-1/32 )= (1-2 ^-1/8)(1+2 ^-1/8)(1+2 ^-1/4)(1+2^-1/2 )/(1-2 ^-1/32 )= (1-2 ^-1/4)(1+2 ^-1/4)(1+2^-1/2 )/(1-2 ^-1/32 )=(1-2^-1/2 )(1+2^-1/2 )/(1-2 ^-1/32 )=(1/2)/(1-2 ^-1/32 )=1/(2-2*2 ^-1/32 )。